Atkin-Lehner |
3- 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40455o |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
640800 |
Modular degree for the optimal curve |
Δ |
-7242679003921875 = -1 · 36 · 56 · 295 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- -5 -1 4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1341732,-598214525] |
[a1,a2,a3,a4,a6] |
j |
-366432104613080203264/9935087796875 |
j-invariant |
L |
2.1041353022045 |
L(r)(E,1)/r! |
Ω |
0.070137843406294 |
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 |
4495a1 |
Quadratic twists by: -3 |