Atkin-Lehner |
2+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26312b |
Isogeny class |
Conductor |
26312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-3367936 = -1 · 210 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 11- 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,926] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-4:1] |
Generators of the group modulo torsion |
j |
-619416612/3289 |
j-invariant |
L |
2.9310516347694 |
L(r)(E,1)/r! |
Ω |
2.5231366335954 |
Real period |
R |
0.58083490123814 |
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 |
52624a1 |
Quadratic twists by: -4 |