Atkin-Lehner |
2- 3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970bf |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
2301471680625000000 = 26 · 312 · 510 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1022108,391235231] |
[a1,a2,a3,a4,a6] |
j |
161989232589735590521/3157025625000000 |
j-invariant |
L |
3.1096278007632 |
L(r)(E,1)/r! |
Ω |
0.25913565003476 |
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 |
15990n1 |
Quadratic twists by: -3 |