Cremona's table of elliptic curves

3458 = 2 · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 7- 13- 19-	Signs for the Atkin-Lehner involutions
Conductor	3458	Conductor
Count	3	Number of curves in isogeny class
Curves	3458c1 3458c2 3458c3	Curves in isogeny class
deg	3888	Modular degree for the optimal curve
Eigenvalues	2+  1  0 7-  3 13- -6 19-	Hecke eigenvalues for primes less than 20
L	1.649942576193	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	27664k 110656o 31122bd 86450bb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3458c

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	-	3	-	-6	-	3	0	5	11	9	8	-9	6	0	-1	5	-6	11	-1	-6	6	-1

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Quadratic twists for isogeny class 3458c

-4	8	-3	5	-7	13	-19
27664k	110656o	31122bd	86450bb	24206b	44954n	65702x

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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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