Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309o |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1206654476051642709 = -1 · 3 · 718 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,73548,-52259334] |
[a1,a2,a3,a4,a6] |
j |
373979421247823/10256393815941 |
j-invariant |
L |
0.52850616665736 |
L(r)(E,1)/r! |
Ω |
0.13212654165738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927bc3 5187j4 |
Quadratic twists by: -3 -7 |