Cremona's table of elliptic curves

4335 = 3 · 5 · 17²

Field	Data	Notes
Atkin-Lehner	3- 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	4335	Conductor
Count	8	Number of curves in isogeny class
Curves	4335d1 4335d2 4335d3 4335d4 4335d5 4335d6 4335d7 4335d8	Curves in isogeny class
deg	1280	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+  0  4 -2 17+  4	Hecke eigenvalues for primes less than 20
L	1.3587845371997	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	69360cc 13005n 21675c 15a	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for isogeny class 4335d

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

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Quadratic twists for isogeny class 4335d

-4	-3	5	17
69360cc	13005n	21675c	15a

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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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