Atkin-Lehner |
2- 3+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910x |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-140774390640 = -1 · 24 · 39 · 5 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-353,-18143] |
[a1,a2,a3,a4,a6] |
j |
-246491883/7152080 |
j-invariant |
L |
3.593897573048 |
L(r)(E,1)/r! |
Ω |
0.44923719663107 |
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 |
26910g1 |
Quadratic twists by: -3 |