Atkin-Lehner |
7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26117k |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-21180714810619 = -1 · 73 · 13 · 416 |
Discriminant |
Eigenvalues |
0 2 -1 7- 4 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-57311,5304655] |
[a1,a2,a3,a4,a6] |
Generators |
[112383:240859:729] |
Generators of the group modulo torsion |
j |
-60694750299455488/61751355133 |
j-invariant |
L |
5.9428321212006 |
L(r)(E,1)/r! |
Ω |
0.67761176860518 |
Real period |
R |
2.1925652698718 |
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 |
26117h1 |
Quadratic twists by: -7 |