Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296y |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
83630195712 = 210 · 35 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1184,6852] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:114:1] [-26:144:1] |
Generators of the group modulo torsion |
j |
26156812/11907 |
j-invariant |
L |
12.414425763383 |
L(r)(E,1)/r! |
Ω |
0.96812006181771 |
Real period |
R |
0.64116147631127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648i1 121296b1 |
Quadratic twists by: -4 -19 |