Cremona's table of elliptic curves

111600 = 2⁴ · 3² · 5² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 31+	Signs for the Atkin-Lehner involutions
Class	111600fv	Isogeny class
Conductor	111600	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	460800	Modular degree for the optimal curve
Δ	-10413619200000000 = -1 · 217 · 38 · 58 · 31	Discriminant
Eigenvalues	2- 3- 5- -1 -1 -1 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,43125,3496250]	[a1,a2,a3,a4,a6]
Generators	[-59:864:1] [325:7200:1]	Generators of the group modulo torsion
j	7604375/8928	j-invariant
L	11.456043168956	L(r)(E,1)/r!
Ω	0.27121120666679	Real period
R	0.88000628355626	Regulator
r	2	Rank of the group of rational points
S	0.99999999992571	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13950cw1 37200cd1 111600dn1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 111600fv1

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
-	-	-	-1	-1	-1	-6	0	0	-6	+	-5	1	-11	-5	-9	-4	-15	2	11	16	2	5	6	2

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Quadratic twists for elliptic curve 111600fv1

-4	-3	5
13950cw1	37200cd1	111600dn1

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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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