Atkin-Lehner |
2- 3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378be |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
11968000 |
Modular degree for the optimal curve |
Δ |
-3.2215564755897E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6545306,7001577433] |
[a1,a2,a3,a4,a6] |
j |
-42538873695051049514073/4419144685308215296 |
j-invariant |
L |
9.388618106973 |
L(r)(E,1)/r! |
Ω |
0.13806791913133 |
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 |
14042b1 |
Quadratic twists by: -3 |