Atkin-Lehner |
2- 3+ 7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26418k |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-763000367963904 = -1 · 28 · 39 · 72 · 174 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4383,1326111] |
[a1,a2,a3,a4,a6] |
j |
9311763370251887/763000367963904 |
j-invariant |
L |
3.090278165067 |
L(r)(E,1)/r! |
Ω |
0.38628477063335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254k1 |
Quadratic twists by: -3 |