Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550i |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10278240 |
Modular degree for the optimal curve |
Δ |
-1.3255031563618E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21926620,-179577208880] |
[a1,a2,a3,a4,a6] |
j |
-46633585130718147687868465/530201262544725160230912 |
j-invariant |
L |
1.356090993992 |
L(r)(E,1)/r! |
Ω |
0.030135355421978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650dv1 32550co1 |
Quadratic twists by: -3 5 |