Cremona's table of elliptic curves

462 = 2 · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	462d	Isogeny class
Conductor	462	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	4160	Modular degree for the optimal curve
Δ	-11054534935707648 = -1 · 226 · 34 · 75 · 112	Discriminant
Eigenvalues	2+ 3-  0 7+ 11+  6  4  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1676,5058506]	[a1,a2,a3,a4,a6]
j	-520203426765625/11054534935707648	j-invariant
L	1.2917286369803	L(r)(E,1)/r!
Ω	0.32293215924508	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	3696r1 14784f1 1386j1 11550bt1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 462d1

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	+	+	6	4	6	-4	6	-2	10	-4	8	-6	-10	0	-2	-4	16	12	-16	-2	-6	-6

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Quadratic twists for elliptic curve 462d1

-4	8	-3	5	-7	-11	13
3696r1	14784f1	1386j1	11550bt1	3234c1	5082ba1	78078dg1

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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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