Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340w |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
14165324660471040 = 28 · 313 · 5 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71112,-4526044] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:686:1] |
Generators of the group modulo torsion |
j |
213100710682624/75903017085 |
j-invariant |
L |
6.5335567961372 |
L(r)(E,1)/r! |
Ω |
0.30097257570687 |
Real period |
R |
1.8090122161043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780a1 |
Quadratic twists by: -3 |