Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688x |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3511725728129212608 = -1 · 26 · 311 · 72 · 436 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95637,-90876760] |
[a1,a2,a3,a4,a6] |
Generators |
[809:19006:1] |
Generators of the group modulo torsion |
j |
-2073452272924096/75268469824443 |
j-invariant |
L |
5.830050428132 |
L(r)(E,1)/r! |
Ω |
0.10909166630116 |
Real period |
R |
6.6802197492397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688n1 28896m1 |
Quadratic twists by: -4 -3 |