Cremona's table of elliptic curves

6270 = 2 · 3 · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11+ 19-	Signs for the Atkin-Lehner involutions
Conductor	6270	Conductor
Count	8	Number of curves in isogeny class
Curves	6270l1 6270l2 6270l3 6270l4 6270l5 6270l6 6270l7 6270l8	Curves in isogeny class
deg	64512	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- -4 11+  2  6 19-	Hecke eigenvalues for primes less than 20
L	1.5762141712509	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	50160bo 18810z 31350bi 68970cv	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 6270l

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

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Quadratic twists for isogeny class 6270l

-4	-3	5	-11	-19
50160bo	18810z	31350bi	68970cv	119130bi

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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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