Atkin-Lehner |
2+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232a |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313600 |
Modular degree for the optimal curve |
Δ |
31589138530304 = 215 · 295 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -3 -2 0 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73217,7645121] |
[a1,a2,a3,a4,a6] |
Generators |
[169:264:1] |
Generators of the group modulo torsion |
j |
1324693785811976/964024003 |
j-invariant |
L |
7.1708561774914 |
L(r)(E,1)/r! |
Ω |
0.65284948392553 |
Real period |
R |
2.7459837056137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232e1 43616e1 |
Quadratic twists by: -4 8 |