Atkin-Lehner |
2+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440l |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
233338937600 = 28 · 52 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22820,1319068] |
[a1,a2,a3,a4,a6] |
Generators |
[63:368:1] |
Generators of the group modulo torsion |
j |
5133927108098896/911480225 |
j-invariant |
L |
4.8079358649135 |
L(r)(E,1)/r! |
Ω |
0.96095882788526 |
Real period |
R |
2.5016346832245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720l1 |
Quadratic twists by: -4 |