Atkin-Lehner |
2+ 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550cl |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-61174764000 = -1 · 25 · 310 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2007,-36099] |
[a1,a2,a3,a4,a6] |
j |
-9814089221/671328 |
j-invariant |
L |
1.4209295215989 |
L(r)(E,1)/r! |
Ω |
0.3552324455543 |
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 |
38850dc1 116550fr1 |
Quadratic twists by: -3 5 |