Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378j |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-87172746912 = -1 · 25 · 36 · 433 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1805,-32299] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1102:1] |
Generators of the group modulo torsion |
j |
-891666015625/119578528 |
j-invariant |
L |
8.6568639166065 |
L(r)(E,1)/r! |
Ω |
0.36352832637872 |
Real period |
R |
0.79378169351495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4042a1 |
Quadratic twists by: -3 |