Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530k |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
57311857152000 = 212 · 39 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27630,-1722924] |
[a1,a2,a3,a4,a6] |
j |
3199983065606881/78617088000 |
j-invariant |
L |
1.4834194437637 |
L(r)(E,1)/r! |
Ω |
0.37085486100026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510q1 |
Quadratic twists by: -3 |