Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11376m |
Isogeny class |
Conductor |
11376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
60388540416 = 220 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -2 -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1251,12258] |
[a1,a2,a3,a4,a6] |
Generators |
[7:62:1] |
Generators of the group modulo torsion |
j |
72511713/20224 |
j-invariant |
L |
5.7721209184814 |
L(r)(E,1)/r! |
Ω |
1.0339502619728 |
Real period |
R |
2.7912952541199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1422d1 45504bp1 1264d1 |
Quadratic twists by: -4 8 -3 |