Atkin-Lehner |
2+ 3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630l |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-7611179904000000 = -1 · 213 · 310 · 56 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285840,-58899200] |
[a1,a2,a3,a4,a6] |
Generators |
[342410270:752224115:551368] |
Generators of the group modulo torsion |
j |
-3542958359061776641/10440576000000 |
j-invariant |
L |
5.0104615628284 |
L(r)(E,1)/r! |
Ω |
0.10321958098117 |
Real period |
R |
12.135443473997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30210ba1 |
Quadratic twists by: -3 |