Atkin-Lehner |
5- 37+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
16465c |
Isogeny class |
Conductor |
16465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
10030560325 = 52 · 373 · 892 |
Discriminant |
Eigenvalues |
0 1 5- -1 -1 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1245,15799] |
[a1,a2,a3,a4,a6] |
Generators |
[13:44:1] |
Generators of the group modulo torsion |
j |
213589820440576/10030560325 |
j-invariant |
L |
4.6039277279156 |
L(r)(E,1)/r! |
Ω |
1.273842047946 |
Real period |
R |
0.9035515304545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82325e1 |
Quadratic twists by: 5 |