Atkin-Lehner |
2- 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47970w |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-852396918750 = -1 · 2 · 39 · 55 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 4 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2077,-25919] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-25:8] |
Generators of the group modulo torsion |
j |
50366053557/43306250 |
j-invariant |
L |
7.8697690167398 |
L(r)(E,1)/r! |
Ω |
0.49055752274024 |
Real period |
R |
4.0106249786713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47970c1 |
Quadratic twists by: -3 |