Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688s |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
319075133761875456 = 29 · 312 · 73 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24010059,45283279970] |
[a1,a2,a3,a4,a6] |
Generators |
[25139646990:-4253569030:8869743] |
Generators of the group modulo torsion |
j |
4101152366882499743816/854860933647 |
j-invariant |
L |
8.7228075798812 |
L(r)(E,1)/r! |
Ω |
0.24196790193945 |
Real period |
R |
12.016480302355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688bn4 28896l4 |
Quadratic twists by: -4 -3 |