Atkin-Lehner |
3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46893g |
Isogeny class |
Conductor |
46893 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
10152944109 = 310 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3047,65582] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:2669:8] [-14:324:1] |
Generators of the group modulo torsion |
j |
63868617981952/207202941 |
j-invariant |
L |
5.2718047730092 |
L(r)(E,1)/r! |
Ω |
1.2925329680982 |
Real period |
R |
1.0196654366128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46893h1 |
Quadratic twists by: -7 |