Atkin-Lehner |
2- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34112v |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-12013813800894464 = -1 · 239 · 13 · 412 |
Discriminant |
Eigenvalues |
2- -3 -1 -3 6 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34828,5836816] |
[a1,a2,a3,a4,a6] |
j |
-17822531769561/45829062656 |
j-invariant |
L |
1.4188453487449 |
L(r)(E,1)/r! |
Ω |
0.35471133718738 |
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 |
34112l1 8528i1 |
Quadratic twists by: -4 8 |