Atkin-Lehner |
2- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550x |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
81984 |
Modular degree for the optimal curve |
Δ |
-439435216000 = -1 · 27 · 53 · 112 · 613 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25390,1563837] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:1595:1] [225:2571:1] |
Generators of the group modulo torsion |
j |
-14480573613918021/3515481728 |
j-invariant |
L |
10.916743510742 |
L(r)(E,1)/r! |
Ω |
0.91682540414934 |
Real period |
R |
0.14175134293025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33550m1 |
Quadratic twists by: 5 |