Atkin-Lehner |
7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26117g |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
25444523004173 = 710 · 133 · 41 |
Discriminant |
Eigenvalues |
0 2 0 7- 3 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8003,-127898] |
[a1,a2,a3,a4,a6] |
Generators |
[2944872:187100218:729] |
Generators of the group modulo torsion |
j |
200704000/90077 |
j-invariant |
L |
6.6901614366335 |
L(r)(E,1)/r! |
Ω |
0.5263809950382 |
Real period |
R |
12.709732113615 |
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 |
26117b1 |
Quadratic twists by: -7 |