Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694dg |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-7131317583082173624 = -1 · 23 · 36 · 117 · 137 |
Discriminant |
Eigenvalues |
2- 3- 3 5 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,265411,117230697] |
[a1,a2,a3,a4,a6] |
j |
241804367/833976 |
j-invariant |
L |
12.03342764524 |
L(r)(E,1)/r! |
Ω |
0.16713094147168 |
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 |
11154u1 9438l1 |
Quadratic twists by: -11 13 |