Atkin-Lehner |
2- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048t |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
634368 |
Modular degree for the optimal curve |
Δ |
205964810128 = 24 · 79 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3 0 7- 11+ -3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70315,-7176589] |
[a1,a2,a3,a4,a6] |
Generators |
[-4928508690:145768483:32157432] |
Generators of the group modulo torsion |
j |
59547744000/319 |
j-invariant |
L |
13.322408853134 |
L(r)(E,1)/r! |
Ω |
0.29318226723137 |
Real period |
R |
11.360176218217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125048u1 |
Quadratic twists by: -7 |