Atkin-Lehner |
2+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49490d |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-79884000417200 = -1 · 24 · 52 · 711 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4972,408706] |
[a1,a2,a3,a4,a6] |
Generators |
[277:4663:1] |
Generators of the group modulo torsion |
j |
115572468311/679002800 |
j-invariant |
L |
5.2268670052857 |
L(r)(E,1)/r! |
Ω |
0.44080160655762 |
Real period |
R |
0.74110253449682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070b1 |
Quadratic twists by: -7 |