Atkin-Lehner |
2- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104780q |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
10978848400 = 24 · 52 · 134 · 312 |
Discriminant |
Eigenvalues |
2- -1 5- -1 1 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1070,-12143] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:25:1] [-18:31:1] |
Generators of the group modulo torsion |
j |
296747776/24025 |
j-invariant |
L |
10.141680008515 |
L(r)(E,1)/r! |
Ω |
0.83897059434597 |
Real period |
R |
1.0073535431119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104780d1 |
Quadratic twists by: 13 |