Atkin-Lehner |
2+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
89680b |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-27262720 = -1 · 28 · 5 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 2 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73,-74] |
[a1,a2,a3,a4,a6] |
Generators |
[3770:21492:125] |
Generators of the group modulo torsion |
j |
168055344/106495 |
j-invariant |
L |
8.1895707165391 |
L(r)(E,1)/r! |
Ω |
1.2106877066128 |
Real period |
R |
6.7643957024948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44840d1 |
Quadratic twists by: -4 |