Atkin-Lehner |
2+ 11- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
92752f |
Isogeny class |
Conductor |
92752 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
412158723328 = 28 · 11 · 173 · 313 |
Discriminant |
Eigenvalues |
2+ -3 0 -1 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-358180,82508764] |
[a1,a2,a3,a4,a6] |
Generators |
[345:17:1] |
Generators of the group modulo torsion |
j |
19851244717002624000/1609995013 |
j-invariant |
L |
2.0250906511198 |
L(r)(E,1)/r! |
Ω |
0.72167667002649 |
Real period |
R |
0.9353637803767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46376d1 |
Quadratic twists by: -4 |