Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632h |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
86529427712 = 28 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1127,-3430] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:104:1] |
Generators of the group modulo torsion |
j |
5256144/2873 |
j-invariant |
L |
2.9503257293356 |
L(r)(E,1)/r! |
Ω |
0.87998233533728 |
Real period |
R |
1.6763550862537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1768a1 |
Quadratic twists by: -7 |