Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304ha |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-3414395921104896 = -1 · 237 · 3 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34655,1329887] |
[a1,a2,a3,a4,a6] |
j |
358321516679/265814016 |
j-invariant |
L |
2.2760042011796 |
L(r)(E,1)/r! |
Ω |
0.28450065342603 |
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 |
122304p1 30576ca1 122304ep1 |
Quadratic twists by: -4 8 -7 |