Atkin-Lehner |
5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
26975f |
Isogeny class |
Conductor |
26975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10960 |
Modular degree for the optimal curve |
Δ |
-2107421875 = -1 · 59 · 13 · 83 |
Discriminant |
Eigenvalues |
0 -2 5- 0 0 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-83,-2256] |
[a1,a2,a3,a4,a6] |
Generators |
[58:437:1] |
Generators of the group modulo torsion |
j |
-32768/1079 |
j-invariant |
L |
2.2922048993109 |
L(r)(E,1)/r! |
Ω |
0.63905015225198 |
Real period |
R |
1.7934467985285 |
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 |
26975d1 |
Quadratic twists by: 5 |