Atkin-Lehner |
2- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8510f |
Isogeny class |
Conductor |
8510 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-28811456000 = -1 · 29 · 53 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,594,6020] |
[a1,a2,a3,a4,a6] |
j |
23175939596831/28811456000 |
j-invariant |
L |
2.373873077495 |
L(r)(E,1)/r! |
Ω |
0.79129102583167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68080l1 76590z1 42550b1 |
Quadratic twists by: -4 -3 5 |