Cremona's table of elliptic curves

4134 = 2 · 3 · 13 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3- 13- 53-	Signs for the Atkin-Lehner involutions
Conductor	4134	Conductor
Count	4	Number of curves in isogeny class
Curves	4134e1 4134e2 4134e3 4134e4	Curves in isogeny class
deg	1216	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  4  0 13-  2 -4	Hecke eigenvalues for primes less than 20
L	2.6864851579378	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	33072s 12402k 103350bd 53742y	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 4134e

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	0	-	2	-4	8	-2	0	6	-2	-4	-4	-	-8	6	12	0	14	16	-4	-14	10

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Quadratic twists for isogeny class 4134e

-4	-3	5	13
33072s	12402k	103350bd	53742y

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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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