Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16317d |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1799287452459 = -1 · 310 · 77 · 37 |
Discriminant |
Eigenvalues |
0 3- 3 7- 1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-74676,-7854786] |
[a1,a2,a3,a4,a6] |
Generators |
[119042:41072314:1] |
Generators of the group modulo torsion |
j |
-536971313152/20979 |
j-invariant |
L |
4.9928638267663 |
L(r)(E,1)/r! |
Ω |
0.14440202356746 |
Real period |
R |
8.6440336904867 |
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 |
5439e1 2331f1 |
Quadratic twists by: -3 -7 |