Atkin-Lehner |
5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71995b |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
60979765 = 5 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 11- 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-161,747] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:38:1] [10:183:8] |
Generators of the group modulo torsion |
j |
31719424/4165 |
j-invariant |
L |
6.6054881879968 |
L(r)(E,1)/r! |
Ω |
1.8990729334713 |
Real period |
R |
0.57971164698215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71995k1 |
Quadratic twists by: -11 |