Atkin-Lehner |
3- 5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40455k |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-6400107421875 = -1 · 36 · 510 · 29 · 31 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 3 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-109983,-14039537] |
[a1,a2,a3,a4,a6] |
j |
-201824027741310976/8779296875 |
j-invariant |
L |
6.5540090909276 |
L(r)(E,1)/r! |
Ω |
0.13108018181804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4495d1 |
Quadratic twists by: -3 |