Atkin-Lehner |
3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3555g |
Isogeny class |
Conductor |
3555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-255051821925 = -1 · 317 · 52 · 79 |
Discriminant |
Eigenvalues |
1 3- 5- -1 3 7 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1431,12150] |
[a1,a2,a3,a4,a6] |
j |
444369620591/349865325 |
j-invariant |
L |
2.5310668104633 |
L(r)(E,1)/r! |
Ω |
0.63276670261581 |
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 |
56880bp1 1185d1 17775bb1 |
Quadratic twists by: -4 -3 5 |