Cremona's table of elliptic curves

2332 = 2² · 11 · 53

Field	Data	Notes
Atkin-Lehner	2- 11- 53-	Signs for the Atkin-Lehner involutions
Class	2332b	Isogeny class
Conductor	2332	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-7910144 = -1 · 28 · 11 · 532	Discriminant
Eigenvalues	2-  3 -1 -2 11-  6  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,32,116]	[a1,a2,a3,a4,a6]
j	14155776/30899	j-invariant
L	3.2442312153318	L(r)(E,1)/r!
Ω	1.6221156076659	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9328k1 37312e1 20988a1 58300h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2332b1

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
-	3	-1	-2	-	6	0	0	3	4	3	7	-4	-4	0	-	3	-10	5	13	-2	14	2	3	17

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Quadratic twists for elliptic curve 2332b1

-4	8	-3	5	-7	-11	53
9328k1	37312e1	20988a1	58300h1	114268i1	25652d1	123596c1

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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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