Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117i |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8745984 |
Modular degree for the optimal curve |
Δ |
-3.0074020831506E+21 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32159549,-70237636972] |
[a1,a2,a3,a4,a6] |
j |
-12846937564867743/10503585169 |
j-invariant |
L |
0.50715372790271 |
L(r)(E,1)/r! |
Ω |
0.031697191164443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117117g1 117117b1 |
Quadratic twists by: -3 13 |