Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200s |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
354308951206800 = 24 · 317 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44535,3502235] |
[a1,a2,a3,a4,a6] |
j |
33499672587520/1215051273 |
j-invariant |
L |
2.1381539097985 |
L(r)(E,1)/r! |
Ω |
0.53453847745096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400by1 11400v1 34200cs1 |
Quadratic twists by: -4 -3 5 |