Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
36792c |
Isogeny class |
Conductor |
36792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-1211714735551488 = -1 · 210 · 39 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24195,-2214322] |
[a1,a2,a3,a4,a6] |
j |
-2098326698500/1623203253 |
j-invariant |
L |
1.4817249411054 |
L(r)(E,1)/r! |
Ω |
0.1852156176358 |
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 |
73584f1 12264e1 |
Quadratic twists by: -4 -3 |