Cremona's table of elliptic curves

11172 = 2² · 3 · 7² · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 19+	Signs for the Atkin-Lehner involutions
Conductor	11172	Conductor
Count	2	Number of curves in isogeny class
Curves	11172e1 11172e2	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 7-  4 -2  2 19+	Hecke eigenvalues for primes less than 20
L	4.681684153068	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	44688dm 33516m 11172w	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for isogeny class 11172e

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
-	+	2	-	4	-2	2	+	0	0	0	-10	10	-12	-6	-8	0	-8	-14	-4	-16	2	10	6	-6

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Quadratic twists for isogeny class 11172e

-4	-3	-7
44688dm	33516m	11172w

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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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