Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36848t |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-649387663425536 = -1 · 224 · 77 · 47 |
Discriminant |
Eigenvalues |
2- -1 1 7- 5 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18800,-726592] |
[a1,a2,a3,a4,a6] |
j |
1524845951/1347584 |
j-invariant |
L |
2.2516388903722 |
L(r)(E,1)/r! |
Ω |
0.28145486129674 |
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 |
4606i1 5264i1 |
Quadratic twists by: -4 -7 |