Atkin-Lehner |
2+ 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378t |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14400000 |
Modular degree for the optimal curve |
Δ |
-4.8219484940601E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8721810,31902368724] |
[a1,a2,a3,a4,a6] |
j |
100650519427807568489759/661446981352551776256 |
j-invariant |
L |
1.3545578597876 |
L(r)(E,1)/r! |
Ω |
0.067727878300609 |
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 |
42126ba1 |
Quadratic twists by: -3 |