Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515m |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
29196378208025 = 52 · 73 · 237 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -2 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86062,9735724] |
[a1,a2,a3,a4,a6] |
j |
476196576129/197225 |
j-invariant |
L |
1.9559995135581 |
L(r)(E,1)/r! |
Ω |
0.6519998378527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92575c1 129605f1 805b1 |
Quadratic twists by: 5 -7 -23 |