Atkin-Lehner |
2- 3- 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038bc |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-37272312 = -1 · 23 · 36 · 7 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 3 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-389,3061] |
[a1,a2,a3,a4,a6] |
Generators |
[13:2:1] |
Generators of the group modulo torsion |
j |
-8908363017/51128 |
j-invariant |
L |
13.248699917307 |
L(r)(E,1)/r! |
Ω |
2.0652136404279 |
Real period |
R |
0.53459763249048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12782a1 |
Quadratic twists by: -3 |