Atkin-Lehner |
7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26117l |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-149032206167299 = -1 · 79 · 133 · 412 |
Discriminant |
Eigenvalues |
0 2 3 7- 4 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8689,667862] |
[a1,a2,a3,a4,a6] |
Generators |
[6330:91396:27] |
Generators of the group modulo torsion |
j |
-1798045696/3693157 |
j-invariant |
L |
8.2436114045649 |
L(r)(E,1)/r! |
Ω |
0.51489172183314 |
Real period |
R |
1.3341982166684 |
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 |
26117i1 |
Quadratic twists by: -7 |