Atkin-Lehner |
3- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40455f |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
5224365294165 = 319 · 5 · 29 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -2 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11793,-480506] |
[a1,a2,a3,a4,a6] |
j |
248810715099136/7166481885 |
j-invariant |
L |
0.91788460325583 |
L(r)(E,1)/r! |
Ω |
0.45894230169175 |
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 |
13485f1 |
Quadratic twists by: -3 |