Atkin-Lehner |
2- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12818f |
Isogeny class |
Conductor |
12818 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-732189796 = -1 · 22 · 135 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -2 -3 2 -1 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2567,-50291] |
[a1,a2,a3,a4,a6] |
Generators |
[70:303:1] |
Generators of the group modulo torsion |
j |
-1870733365059313/732189796 |
j-invariant |
L |
3.9370726831525 |
L(r)(E,1)/r! |
Ω |
0.33535285996309 |
Real period |
R |
1.1740089777633 |
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 |
102544k1 115362h1 |
Quadratic twists by: -4 -3 |