Cremona's table of elliptic curves

96800 = 2⁵ · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	96800bl	Isogeny class
Conductor	96800	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	779486840000000000 = 212 · 510 · 117	Discriminant
Eigenvalues	2-  0 5+  0 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-278300,-37268000]	[a1,a2,a3,a4,a6]
Generators	[-315:4375:1]	Generators of the group modulo torsion
j	21024576/6875	j-invariant
L	5.1602405966832	L(r)(E,1)/r!
Ω	0.21328228785	Real period
R	3.0243021180439	Regulator
r	1	Rank of the group of rational points
S	0.99999999953397	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	96800d3 19360g2 8800a3	Quadratic twists by: -4 5 -11

Hecke Eigenvalues for elliptic curve 96800bl3

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

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Quadratic twists for elliptic curve 96800bl3

-4	5	-11
96800d3	19360g2	8800a3

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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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