Atkin-Lehner |
7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26117j |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-881847373771 = -1 · 79 · 13 · 412 |
Discriminant |
Eigenvalues |
0 0 -3 7- 4 13- 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2744,-71430] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:42185:8] |
Generators of the group modulo torsion |
j |
-56623104/21853 |
j-invariant |
L |
3.1504672223729 |
L(r)(E,1)/r! |
Ω |
0.32362281077523 |
Real period |
R |
2.4337493506916 |
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 |
26117e1 |
Quadratic twists by: -7 |