Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8330y |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-524296650752000 = -1 · 221 · 53 · 76 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19550,334767] |
[a1,a2,a3,a4,a6] |
Generators |
[377:-8029:1] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
5.6120963040629 |
L(r)(E,1)/r! |
Ω |
0.3240192311835 |
Real period |
R |
0.13746235584522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640cl1 74970n1 41650g1 170c1 |
Quadratic twists by: -4 -3 5 -7 |