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	111600ds	Isogeny class
Conductor	111600	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	276480	Modular degree for the optimal curve
Δ	-666471628800 = -1 · 217 · 38 · 52 · 31	Discriminant
Eigenvalues	2- 3- 5+ -1  5  1  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-91155,-10593070]	[a1,a2,a3,a4,a6]
Generators	[43595:23922:125]	Generators of the group modulo torsion
j	-1122115892665/8928	j-invariant
L	7.8444457067711	L(r)(E,1)/r!
Ω	0.13738022642825	Real period
R	7.1375316335518	Regulator
r	1	Rank of the group of rational points
S	1.0000000014178	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13950v1 37200bi1 111600ft1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 111600ds1

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	5	1	0	0	6	2	+	-7	9	-11	3	13	0	1	-4	1	-4	-10	1	2	2

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Quadratic twists for elliptic curve 111600ds1

-4	-3	5
13950v1	37200bi1	111600ft1

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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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