Cremona's table of elliptic curves

2478 = 2 · 3 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 59+	Signs for the Atkin-Lehner involutions
Conductor	2478	Conductor
Count	4	Number of curves in isogeny class
Curves	2478e1 2478e2 2478e3 2478e4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 7+  4  2  2  4	Hecke eigenvalues for primes less than 20
L	3.0677708724018	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	19824y 79296v 7434b 61950bd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2478e

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

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Quadratic twists for isogeny class 2478e

-4	8	-3	5	-7
19824y	79296v	7434b	61950bd	17346bf

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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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