Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336br |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
3413710913536 = 214 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14176,638836] |
[a1,a2,a3,a4,a6] |
Generators |
[12:686:1] |
Generators of the group modulo torsion |
j |
76922876001889/833425516 |
j-invariant |
L |
6.2487153401371 |
L(r)(E,1)/r! |
Ω |
0.79607866294766 |
Real period |
R |
0.56066922878844 |
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 |
3542j1 113344eb1 |
Quadratic twists by: -4 8 |