Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950z |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-1631911680000000000 = -1 · 217 · 32 · 510 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,291549,-10279202] |
[a1,a2,a3,a4,a6] |
Generators |
[653620:47188158:125] |
Generators of the group modulo torsion |
j |
280647048061775/167107756032 |
j-invariant |
L |
5.8140552343627 |
L(r)(E,1)/r! |
Ω |
0.15572122407629 |
Real period |
R |
9.3340764379864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950cb1 |
Quadratic twists by: 5 |