Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
26840f |
Isogeny class |
Conductor |
26840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
34355200 = 211 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1936,-33440] |
[a1,a2,a3,a4,a6] |
Generators |
[-5538:145:216] |
Generators of the group modulo torsion |
j |
392043380258/16775 |
j-invariant |
L |
6.1265408246621 |
L(r)(E,1)/r! |
Ω |
0.7197068550075 |
Real period |
R |
4.2562751640029 |
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 |
53680d1 |
Quadratic twists by: -4 |