Atkin-Lehner |
2- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bf |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
1656249548800 = 215 · 52 · 72 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11+ 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54793,4931737] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-13:1] |
Generators of the group modulo torsion |
j |
727711833153420985/66249981952 |
j-invariant |
L |
12.725757351572 |
L(r)(E,1)/r! |
Ω |
0.80514667869116 |
Real period |
R |
0.52685047664221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350w1 |
Quadratic twists by: 5 |