Atkin-Lehner |
2+ 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846q |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
9.8329753647931E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143509338,458562082356] |
[a1,a2,a3,a4,a6] |
j |
448370126000857162602152353/134883063988931602326528 |
j-invariant |
L |
1.3337949043012 |
L(r)(E,1)/r! |
Ω |
0.055574787679283 |
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 |
9282u1 |
Quadratic twists by: -3 |