Atkin-Lehner |
2+ 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770n |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
169317540 = 22 · 37 · 5 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,-644] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:14:1] |
Generators of the group modulo torsion |
j |
887503681/232260 |
j-invariant |
L |
4.4282822429875 |
L(r)(E,1)/r! |
Ω |
1.3283832295945 |
Real period |
R |
0.83339697165009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590p1 |
Quadratic twists by: -3 |