Atkin-Lehner |
5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065i |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10805760 |
Modular degree for the optimal curve |
Δ |
-2.1698902917159E+23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-146389775,-682064557160] |
[a1,a2,a3,a4,a6] |
j |
-71877974412415806187281/44954964899499655 |
j-invariant |
L |
2.1266776097034 |
L(r)(E,1)/r! |
Ω |
0.021700791891644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005d1 |
Quadratic twists by: 13 |