Cremona's table of elliptic curves

110400 = 2⁶ · 3 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	110400hs	Isogeny class
Conductor	110400	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	1419264	Modular degree for the optimal curve
Δ	-316273825125000000 = -1 · 26 · 314 · 59 · 232	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-415008,106263738]	[a1,a2,a3,a4,a6]
Generators	[873:-20250:1]	Generators of the group modulo torsion
j	-7904859665241664/316273825125	j-invariant
L	6.9711546848573	L(r)(E,1)/r!
Ω	0.30330956771302	Real period
R	0.82084390525169	Regulator
r	1	Rank of the group of rational points
S	1.0000000004487	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	110400gj1 55200bn2 22080ci1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 110400hs1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	0	-4	-2	-6	2	+	10	-8	-4	-2	-4	4	6	14	10	4	-10	-2	6	-4	10	0

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Quadratic twists for elliptic curve 110400hs1

-4	8	5
110400gj1	55200bn2	22080ci1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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