Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bn |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-146701393920 = -1 · 213 · 36 · 5 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1253,-24803] |
[a1,a2,a3,a4,a6] |
Generators |
[47:112:1] |
Generators of the group modulo torsion |
j |
-60698457/40960 |
j-invariant |
L |
9.1146582532981 |
L(r)(E,1)/r! |
Ω |
0.38953052054636 |
Real period |
R |
0.89996485636426 |
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 |
2890j1 26010bz1 |
Quadratic twists by: -3 17 |