Atkin-Lehner |
2- 5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bv |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
77059247927200 = 25 · 52 · 710 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1689128,844267401] |
[a1,a2,a3,a4,a6] |
Generators |
[678390:3000867:1000] |
Generators of the group modulo torsion |
j |
21319224497038901515945/3082369917088 |
j-invariant |
L |
9.4558279672593 |
L(r)(E,1)/r! |
Ω |
0.47754008296323 |
Real period |
R |
9.9005594910602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999963803 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
119350s2 |
Quadratic twists by: 5 |