Atkin-Lehner |
7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26117b |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
216274877 = 74 · 133 · 41 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-163,326] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:32:1] [-4:30:1] |
Generators of the group modulo torsion |
j |
200704000/90077 |
j-invariant |
L |
5.0736711350573 |
L(r)(E,1)/r! |
Ω |
1.5930849062497 |
Real period |
R |
3.1848089923851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26117g1 |
Quadratic twists by: -7 |