Atkin-Lehner |
2+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232d |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
714604544 = 219 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ -2 1 -2 0 -7 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,127] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:27:1] [-13:32:1] |
Generators of the group modulo torsion |
j |
4826809/2726 |
j-invariant |
L |
7.5759524935559 |
L(r)(E,1)/r! |
Ω |
1.3837697750254 |
Real period |
R |
1.3687162110283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232m1 2726d1 |
Quadratic twists by: -4 8 |