Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bi |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
499648456253520 = 24 · 318 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-244002,46379009] |
[a1,a2,a3,a4,a6] |
j |
137738820446132224/42836801805 |
j-invariant |
L |
3.0735237562208 |
L(r)(E,1)/r! |
Ω |
0.51225381953518 |
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 |
39480p1 |
Quadratic twists by: -3 |