Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309o |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7599987817612281 = 32 · 712 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107997,-13045614] |
[a1,a2,a3,a4,a6] |
j |
1184052061112257/64598830569 |
j-invariant |
L |
0.52850616665736 |
L(r)(E,1)/r! |
Ω |
0.26425308331477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108927bc2 5187j2 |
Quadratic twists by: -3 -7 |