Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376k |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
995253101568 = 210 · 39 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71992,7410788] |
[a1,a2,a3,a4,a6] |
Generators |
[152:54:1] |
Generators of the group modulo torsion |
j |
40297908315119332/971926857 |
j-invariant |
L |
7.6193875271627 |
L(r)(E,1)/r! |
Ω |
0.81364498136257 |
Real period |
R |
0.52025062129156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17688e1 106128g1 |
Quadratic twists by: -4 -3 |