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	110400it	Isogeny class
Conductor	110400	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	98724096000000 = 214 · 36 · 56 · 232	Discriminant
Eigenvalues	2- 3- 5+ -4 -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-21233,1083663]	[a1,a2,a3,a4,a6]
Generators	[-137:1200:1] [-17:1200:1]	Generators of the group modulo torsion
j	4135597648/385641	j-invariant
L	12.312629953733	L(r)(E,1)/r!
Ω	0.58296057424446	Real period
R	1.7600718497412	Regulator
r	2	Rank of the group of rational points
S	0.99999999991008	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	110400q2 27600l2 4416q2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 110400it2

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
-	-	+	-4	-4	-2	2	0	-	2	0	-10	-6	-8	-8	-6	-4	-14	-8	8	6	-12	12	-2	-10

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Quadratic twists for elliptic curve 110400it2

-4	8	5
110400q2	27600l2	4416q2

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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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