Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
78660a |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
91200 |
Modular degree for the optimal curve |
Δ |
-1968201573120 = -1 · 28 · 33 · 5 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 1 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4848,-146412] |
[a1,a2,a3,a4,a6] |
Generators |
[1590534:16708683:10648] |
Generators of the group modulo torsion |
j |
-1823088771072/284751385 |
j-invariant |
L |
6.1735318581638 |
L(r)(E,1)/r! |
Ω |
0.28363534797082 |
Real period |
R |
10.882867570259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78660e1 |
Quadratic twists by: -3 |