Atkin-Lehner |
2- 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470bl |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-111808573440 = -1 · 212 · 3 · 5 · 192 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1170,4740] |
[a1,a2,a3,a4,a6] |
j |
177116123227679/111808573440 |
j-invariant |
L |
7.8557155603668 |
L(r)(E,1)/r! |
Ω |
0.65464296336524 |
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 |
121410b1 |
Quadratic twists by: -3 |