Atkin-Lehner |
2- 7- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31108f |
Isogeny class |
Conductor |
31108 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
18549327104 = 28 · 72 · 114 · 101 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11- -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4304,108484] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:97:1] [-32:462:1] |
Generators of the group modulo torsion |
j |
34442965352448/72458309 |
j-invariant |
L |
7.1164825121682 |
L(r)(E,1)/r! |
Ω |
1.2262809034041 |
Real period |
R |
0.24180438906829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124432d1 |
Quadratic twists by: -4 |