Atkin-Lehner |
7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26117g |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
253090196272277 = 710 · 13 · 413 |
Discriminant |
Eigenvalues |
0 2 0 7- 3 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-320133,69820435] |
[a1,a2,a3,a4,a6] |
Generators |
[9147:9847:27] |
Generators of the group modulo torsion |
j |
12845056000000/895973 |
j-invariant |
L |
6.6901614366335 |
L(r)(E,1)/r! |
Ω |
0.5263809950382 |
Real period |
R |
4.2365773712049 |
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 |
26117b2 |
Quadratic twists by: -7 |