Atkin-Lehner |
2+ 5+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550b |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
1087862478200 = 23 · 52 · 37 · 435 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 -5 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10757,429181] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:953:1] |
Generators of the group modulo torsion |
j |
5506554210070545/43514499128 |
j-invariant |
L |
1.7761109638564 |
L(r)(E,1)/r! |
Ω |
0.8765173922736 |
Real period |
R |
0.40526542436367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550r1 |
Quadratic twists by: 5 |