Atkin-Lehner |
2- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26350p |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
633058750000 = 24 · 57 · 17 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -6 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9838,369531] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:817:1] [-25:787:1] |
Generators of the group modulo torsion |
j |
6739487929369/40515760 |
j-invariant |
L |
8.9878014182851 |
L(r)(E,1)/r! |
Ω |
0.91718595350272 |
Real period |
R |
0.20415256270105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270b1 |
Quadratic twists by: 5 |