Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340x |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1224163859546880 = -1 · 28 · 39 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18192,1930196] |
[a1,a2,a3,a4,a6] |
Generators |
[85:999:1] |
Generators of the group modulo torsion |
j |
-3567775842304/6559519995 |
j-invariant |
L |
5.6709233611373 |
L(r)(E,1)/r! |
Ω |
0.43351699203908 |
Real period |
R |
3.2703005103498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780b1 |
Quadratic twists by: -3 |