Cremona's table of elliptic curves

11832 = 2³ · 3 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+ 29+	Signs for the Atkin-Lehner involutions
Class	11832d	Isogeny class
Conductor	11832	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	638928 = 24 · 34 · 17 · 29	Discriminant
Eigenvalues	2- 3+  2  4  4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-167,888]	[a1,a2,a3,a4,a6]
j	32385538048/39933	j-invariant
L	2.8744715068382	L(r)(E,1)/r!
Ω	2.8744715068382	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23664e1 94656v1 35496e1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 11832d1

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	4	4	-2	+	4	0	+	-8	2	-10	-4	12	-10	12	2	4	8	14	-8	4	14	14

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Quadratic twists for elliptic curve 11832d1

-4	8	-3
23664e1	94656v1	35496e1

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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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