Atkin-Lehner |
5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45325d |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-4.5237166332857E+24 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 5 -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,23231717,92803989718] |
[a1,a2,a3,a4,a6] |
j |
754326479523774464/2460861244296875 |
j-invariant |
L |
1.7525084315325 |
L(r)(E,1)/r! |
Ω |
0.054765888481672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9065a1 6475b1 |
Quadratic twists by: 5 -7 |