Atkin-Lehner |
2- 3+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
87216h |
Isogeny class |
Conductor |
87216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-43404263424 = -1 · 215 · 36 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 0 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6464,-198144] |
[a1,a2,a3,a4,a6] |
Generators |
[177430:1512486:1331] |
Generators of the group modulo torsion |
j |
-7293483291457/10596744 |
j-invariant |
L |
8.1395856097225 |
L(r)(E,1)/r! |
Ω |
0.26619555470677 |
Real period |
R |
7.6443665740518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10902d1 |
Quadratic twists by: -4 |