Atkin-Lehner |
5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325j |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
340079140625 = 57 · 76 · 37 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4313,104992] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:425:1] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
2.2651651695127 |
L(r)(E,1)/r! |
Ω |
0.95299475770383 |
Real period |
R |
2.3768915318794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9065d1 925c1 |
Quadratic twists by: 5 -7 |