Atkin-Lehner |
7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26117h |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
639744 |
Modular degree for the optimal curve |
Δ |
-2491889916754514731 = -1 · 79 · 13 · 416 |
Discriminant |
Eigenvalues |
0 -2 1 7- 4 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2808255,-1813880253] |
[a1,a2,a3,a4,a6] |
Generators |
[261455:4788389:125] |
Generators of the group modulo torsion |
j |
-60694750299455488/61751355133 |
j-invariant |
L |
3.6604600594501 |
L(r)(E,1)/r! |
Ω |
0.058308774892305 |
Real period |
R |
5.231431098508 |
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 |
26117k1 |
Quadratic twists by: -7 |