Atkin-Lehner |
2- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774o |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-6017568128 = -1 · 27 · 114 · 132 · 19 |
Discriminant |
Eigenvalues |
2- -3 -2 -1 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1596,25215] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:163:1] [3:-145:1] |
Generators of the group modulo torsion |
j |
-30689972577/411008 |
j-invariant |
L |
8.1246568339784 |
L(r)(E,1)/r! |
Ω |
1.349099670379 |
Real period |
R |
0.14338763442011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774h1 |
Quadratic twists by: -11 |