Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7- 11+	Signs for the Atkin-Lehner involutions
Conductor	18480	Conductor
Count	6	Number of curves in isogeny class
Curves	18480o1 18480o2 18480o3 18480o4 18480o5 18480o6	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5- 7- 11+ -2  2  4	Hecke eigenvalues for primes less than 20
L	4.773750436439	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	9240bh 73920gx 55440v 92400bs	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 18480o

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

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Quadratic twists for isogeny class 18480o

-4	8	-3	5	-7
9240bh	73920gx	55440v	92400bs	129360bw

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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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