Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550s |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
1950617968750 = 2 · 58 · 11 · 613 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ 7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4963,114531] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:3071:8] |
Generators of the group modulo torsion |
j |
865250742889/124839550 |
j-invariant |
L |
6.5308804375047 |
L(r)(E,1)/r! |
Ω |
0.79745058392759 |
Real period |
R |
1.3649498725758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710d1 |
Quadratic twists by: 5 |