Atkin-Lehner |
2+ 3+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130c |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-418080000 = -1 · 28 · 3 · 54 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3218,-71628] |
[a1,a2,a3,a4,a6] |
j |
-3687165962832169/418080000 |
j-invariant |
L |
1.2676883954482 |
L(r)(E,1)/r! |
Ω |
0.31692209886201 |
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 |
78390bz1 |
Quadratic twists by: -3 |