Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088w |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
163398307072 = 28 · 74 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ 11- 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1580,-14896] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:26:1] [-25:98:1] |
Generators of the group modulo torsion |
j |
14091086416/5274997 |
j-invariant |
L |
9.8482275434044 |
L(r)(E,1)/r! |
Ω |
0.78123325990369 |
Real period |
R |
0.52525005701486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088m1 |
Quadratic twists by: -11 |