Cremona's table of elliptic curves

3542 = 2 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 7+ 11+ 23-	Signs for the Atkin-Lehner involutions
Conductor	3542	Conductor
Count	4	Number of curves in isogeny class
Curves	3542k1 3542k2 3542k3 3542k4	Curves in isogeny class
deg	69120	Modular degree for the optimal curve
Eigenvalues	2-  0  2 7+ 11+ -6 -6  8	Hecke eigenvalues for primes less than 20
L	5.1942195475078	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	28336bo 113344s 31878i 88550o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3542k

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

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Quadratic twists for isogeny class 3542k

-4	8	-3	5	-7	-11	-23
28336bo	113344s	31878i	88550o	24794bh	38962p	81466bm

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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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