Atkin-Lehner |
5- 37+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
16465d |
Isogeny class |
Conductor |
16465 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
51120 |
Modular degree for the optimal curve |
Δ |
44024580078125 = 510 · 373 · 89 |
Discriminant |
Eigenvalues |
0 -2 5- 2 5 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-64085,6214806] |
[a1,a2,a3,a4,a6] |
Generators |
[130:312:1] |
Generators of the group modulo torsion |
j |
29107148052534132736/44024580078125 |
j-invariant |
L |
3.4157230303019 |
L(r)(E,1)/r! |
Ω |
0.64002120230919 |
Real period |
R |
0.53368904310951 |
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 |
82325f1 |
Quadratic twists by: 5 |