Atkin-Lehner |
2- 3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47970bd |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-489947913548437500 = -1 · 22 · 315 · 58 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105773,-36159919] |
[a1,a2,a3,a4,a6] |
j |
-179521637622343561/672082185937500 |
j-invariant |
L |
4.3616199688094 |
L(r)(E,1)/r! |
Ω |
0.12115611026323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990j1 |
Quadratic twists by: -3 |