Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bm |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3047424 |
Modular degree for the optimal curve |
Δ |
-6.9388144398465E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,899316,229703040] |
[a1,a2,a3,a4,a6] |
j |
4173281/3600 |
j-invariant |
L |
2.0272612801608 |
L(r)(E,1)/r! |
Ω |
0.12670383514552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830bp1 86490bn1 |
Quadratic twists by: -3 -31 |