Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bp |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
41289250347417600 = 226 · 38 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43339656,109833148656] |
[a1,a2,a3,a4,a6] |
j |
2197961868637780271747209/10080383385600 |
j-invariant |
L |
0.97798291103263 |
L(r)(E,1)/r! |
Ω |
0.24449572205374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230p2 |
Quadratic twists by: -4 |