Cremona's table of elliptic curves

35490 = 2 · 3 · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Conductor	35490	Conductor
Count	8	Number of curves in isogeny class
Curves	35490bm1 35490bm2 35490bm3 35490bm4 35490bm5 35490bm6 35490bm7 35490bm8	Curves in isogeny class
deg	110592	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7+  0 13+ -6  4	Hecke eigenvalues for primes less than 20
L	5.2576537107962	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	106470ea 210a	Quadratic twists by: -3 13

Hecke Eigenvalues for isogeny class 35490bm

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

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Quadratic twists for isogeny class 35490bm

-3	13
106470ea	210a

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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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