Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350d |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3920 |
Modular degree for the optimal curve |
Δ |
-126846000000 = -1 · 27 · 37 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,17125] |
[a1,a2,a3,a4,a6] |
j |
-117649/8118144 |
j-invariant |
L |
0.83172961521188 |
L(r)(E,1)/r! |
Ω |
0.83172961521188 |
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 |
34800dg1 13050bd1 174b1 126150cr1 |
Quadratic twists by: -4 -3 5 29 |