Cremona's table of elliptic curves

4624 = 2⁴ · 17²

Field	Data	Notes
Atkin-Lehner	2- 17+	Signs for the Atkin-Lehner involutions
Conductor	4624	Conductor
Count	4	Number of curves in isogeny class
Curves	4624f1 4624f2 4624f3 4624f4	Curves in isogeny class
deg	13824	Modular degree for the optimal curve
Eigenvalues	2- -2  0 -4  6  2 17+  4	Hecke eigenvalues for primes less than 20
L	0.90425772548244	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	578a 18496n 41616ca 115600bz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4624f

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	0	-4	6	2	+	4	0	0	-4	4	-6	-8	0	-6	0	4	-8	0	-2	8	0	-6	-14

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Quadratic twists for isogeny class 4624f

-4	8	-3	5	17
578a	18496n	41616ca	115600bz	272d

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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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