Atkin-Lehner |
2- 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878bd |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1424640 |
Modular degree for the optimal curve |
Δ |
-3.0220914469604E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11275115,14599151039] |
[a1,a2,a3,a4,a6] |
j |
-217449837830486975883625/414553010556986532 |
j-invariant |
L |
3.453913635633 |
L(r)(E,1)/r! |
Ω |
0.17269568178176 |
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 |
10626d1 |
Quadratic twists by: -3 |