Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cu |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
3.7515526450872E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-338347242,2395543844916] |
[a1,a2,a3,a4,a6] |
Generators |
[3562804:-15917238:343] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
6.0169256267084 |
L(r)(E,1)/r! |
Ω |
0.10394426349073 |
Real period |
R |
7.2357596100235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350dm1 76050ge1 5850bz1 |
Quadratic twists by: -3 5 13 |