Atkin-Lehner |
2- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840i |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1704919040 = -1 · 216 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163,-2142] |
[a1,a2,a3,a4,a6] |
j |
-116930169/416240 |
j-invariant |
L |
1.2257967046049 |
L(r)(E,1)/r! |
Ω |
0.61289835229811 |
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 |
4730a1 |
Quadratic twists by: -4 |