Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bx |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-5414268420000000000 = -1 · 211 · 38 · 510 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54933,-111841274] |
[a1,a2,a3,a4,a6] |
Generators |
[7186:205875:8] |
Generators of the group modulo torsion |
j |
12279090028462/3626455078125 |
j-invariant |
L |
9.1206583275099 |
L(r)(E,1)/r! |
Ω |
0.11331146828126 |
Real period |
R |
4.0245963073611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40920q1 |
Quadratic twists by: -3 |