Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784l |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1968091136 = -1 · 212 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 3 -3 2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,176,-1936] |
[a1,a2,a3,a4,a6] |
j |
110592/361 |
j-invariant |
L |
3.0147084704882 |
L(r)(E,1)/r! |
Ω |
0.7536771176231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2299b1 36784o1 |
Quadratic twists by: -4 -11 |