Atkin-Lehner |
7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26117b |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
2151231173 = 74 · 13 · 413 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6533,-205425] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:3:1] [-374:11:8] |
Generators of the group modulo torsion |
j |
12845056000000/895973 |
j-invariant |
L |
5.0736711350573 |
L(r)(E,1)/r! |
Ω |
0.53102830208325 |
Real period |
R |
3.1848089923851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26117g2 |
Quadratic twists by: -7 |