Cremona's table of elliptic curves

8464 = 2⁴ · 23²

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Class	8464f	Isogeny class
Conductor	8464	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	22080	Modular degree for the optimal curve
Δ	-160380897855488 = -1 · 211 · 238	Discriminant
Eigenvalues	2+  1 -2 -2 -4  4 -7 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4056,-599788]	[a1,a2,a3,a4,a6]
j	46	j-invariant
L	0.55830941825334	L(r)(E,1)/r!
Ω	0.27915470912667	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	4232d1 33856bg1 76176l1 8464b1	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 8464f1

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	-2	-2	-4	4	-7	-3	-	-4	-6	2	6	-5	10	0	5	-4	-5	-14	15	12	15	-10	10

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Quadratic twists for elliptic curve 8464f1

-4	8	-3	-23
4232d1	33856bg1	76176l1	8464b1

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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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