Atkin-Lehner |
3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309y |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
46019213069193 = 35 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24746,1460283] |
[a1,a2,a3,a4,a6] |
j |
41529573847/1140399 |
j-invariant |
L |
3.1804255382656 |
L(r)(E,1)/r! |
Ω |
0.63608510765298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927o1 36309k1 |
Quadratic twists by: -3 -7 |