Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2856j |
Isogeny class |
Conductor |
2856 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-124418052864 = -1 · 28 · 35 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,17003] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:126:1] |
Generators of the group modulo torsion |
j |
721888256/486008019 |
j-invariant |
L |
3.7651430795519 |
L(r)(E,1)/r! |
Ω |
0.81452587369878 |
Real period |
R |
0.077041609954315 |
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 |
5712a1 22848p1 8568e1 71400a1 |
Quadratic twists by: -4 8 -3 5 |