Atkin-Lehner |
3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31827c |
Isogeny class |
Conductor |
31827 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
4233918 |
Modular degree for the optimal curve |
Δ |
-2.0196406764681E+22 |
Discriminant |
Eigenvalues |
2 3- -4 1 -2 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6192120,-3400515835] |
[a1,a2,a3,a4,a6] |
j |
2072735744/1594323 |
j-invariant |
L |
2.6441705211402 |
L(r)(E,1)/r! |
Ω |
0.067799244131825 |
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 |
95481c1 31827b1 |
Quadratic twists by: -3 -103 |