Cremona's table of elliptic curves

94400 = 2⁶ · 5² · 59

Field	Data	Notes
Atkin-Lehner	2- 5+ 59-	Signs for the Atkin-Lehner involutions
Class	94400cs	Isogeny class
Conductor	94400	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	55296	Modular degree for the optimal curve
Δ	-3776000000 = -1 · 212 · 56 · 59	Discriminant
Eigenvalues	2- -1 5+  5  0 -4  6  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-233,3337]	[a1,a2,a3,a4,a6]
Generators	[-9:68:1]	Generators of the group modulo torsion
j	-21952/59	j-invariant
L	6.3908360391873	L(r)(E,1)/r!
Ω	1.2336436315951	Real period
R	2.5902277947029	Regulator
r	1	Rank of the group of rational points
S	0.99999999883515	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94400bt1 47200c1 3776t1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 94400cs1

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	0	-4	6	1	-2	5	-10	-2	-9	6	-4	-3	-	-2	12	-8	4	-11	-4	-10	16

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Quadratic twists for elliptic curve 94400cs1

-4	8	5
94400bt1	47200c1	3776t1

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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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