Atkin-Lehner |
2- 3- 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378bl |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-260910919584 = -1 · 25 · 39 · 7 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-536,-24901] |
[a1,a2,a3,a4,a6] |
j |
-23320116793/357902496 |
j-invariant |
L |
8.42248459206 |
L(r)(E,1)/r! |
Ω |
0.4211242148446 |
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 |
42126l1 |
Quadratic twists by: -3 |