Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
26702i |
Isogeny class |
Conductor |
26702 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-26808174414944 = -1 · 25 · 139 · 79 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 3 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4362,-224155] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2939:1] |
Generators of the group modulo torsion |
j |
1902014919/5554016 |
j-invariant |
L |
7.2421581906542 |
L(r)(E,1)/r! |
Ω |
0.34241298326237 |
Real period |
R |
2.1150360952011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054b1 |
Quadratic twists by: 13 |