Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088f |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
9550148608 = 210 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-11728] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:28:1] |
Generators of the group modulo torsion |
j |
7562500/637 |
j-invariant |
L |
7.0456965453291 |
L(r)(E,1)/r! |
Ω |
0.85176698257993 |
Real period |
R |
2.0679647986327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088bd1 |
Quadratic twists by: -11 |