Atkin-Lehner |
3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
37389c |
Isogeny class |
Conductor |
37389 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
56880 |
Modular degree for the optimal curve |
Δ |
-178830427941 = -1 · 315 · 112 · 103 |
Discriminant |
Eigenvalues |
-1 3- -3 -4 11- 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8192,285429] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-404:1] |
Generators of the group modulo torsion |
j |
-502471560554953/1477937421 |
j-invariant |
L |
2.3654687642005 |
L(r)(E,1)/r! |
Ω |
1.0172436839036 |
Real period |
R |
0.15502472033843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112167l1 37389a1 |
Quadratic twists by: -3 -11 |