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	111600n	Isogeny class
Conductor	111600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-37830726000000000 = -1 · 210 · 39 · 59 · 312	Discriminant
Eigenvalues	2+ 3+ 5-  2  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,37125,-8943750]	[a1,a2,a3,a4,a6]
Generators	[1669:68572:1]	Generators of the group modulo torsion
j	143748/961	j-invariant
L	6.898379515556	L(r)(E,1)/r!
Ω	0.18196261483456	Real period
R	4.7388714412205	Regulator
r	1	Rank of the group of rational points
S	1.0000000007367	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	55800g2 111600m2 111600o2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 111600n2

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
+	+	-	2	0	-2	-2	-4	4	-6	-	-2	0	-4	0	14	-6	-2	-2	14	-6	4	-12	18	12

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Quadratic twists for elliptic curve 111600n2

-4	-3	5
55800g2	111600m2	111600o2

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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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