Atkin-Lehner |
2+ 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112632d |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4012800 |
Modular degree for the optimal curve |
Δ |
167529126680527872 = 210 · 3 · 132 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -6 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1140880,469004956] |
[a1,a2,a3,a4,a6] |
j |
497005996/507 |
j-invariant |
L |
0.64148043411727 |
L(r)(E,1)/r! |
Ω |
0.32073990655595 |
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 |
112632v1 |
Quadratic twists by: -19 |