Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950bb |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
14406237699000000 = 26 · 3 · 56 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61275,-883875] |
[a1,a2,a3,a4,a6] |
Generators |
[-6198:32071:27] |
Generators of the group modulo torsion |
j |
5764801/3264 |
j-invariant |
L |
4.554566889102 |
L(r)(E,1)/r! |
Ω |
0.32730299748885 |
Real period |
R |
6.9577225730663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bj1 124950cj1 |
Quadratic twists by: 5 -7 |