Atkin-Lehner |
2- 3- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61272n |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
5000671634688 = 28 · 36 · 232 · 373 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 5 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4764,-66652] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:74:1] |
Generators of the group modulo torsion |
j |
64072471552/26795437 |
j-invariant |
L |
7.6469163433294 |
L(r)(E,1)/r! |
Ω |
0.59640727949799 |
Real period |
R |
1.0684695685391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122544i1 6808c1 |
Quadratic twists by: -4 -3 |