Cremona's table of elliptic curves

106470 = 2 · 3² · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Conductor	106470	Conductor
Count	8	Number of curves in isogeny class
Curves	106470ce1 106470ce2 106470ce3 106470ce4 106470ce5 106470ce6 106470ce7 106470ce8	Curves in isogeny class
deg	1769472	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7+  0 13+  6 -8	Hecke eigenvalues for primes less than 20
L	5.0218885827056	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	35490cy 630i	Quadratic twists by: -3 13

Hecke Eigenvalues for isogeny class 106470ce

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	-8	0	-6	4	10	-6	-4	0	6	-12	-10	4	12	10	8	12	-6	10

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Quadratic twists for isogeny class 106470ce

-3	13
35490cy	630i

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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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