Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008d |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
9.8200287579664E+18 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2924618,1918205904] |
[a1,a2,a3,a4,a6] |
j |
43226625391318848088000/153437949343225377 |
j-invariant |
L |
2.7668298445224 |
L(r)(E,1)/r! |
Ω |
0.23056915371019 |
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 |
31008o1 62016h1 93024bf1 |
Quadratic twists by: -4 8 -3 |