Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600bx |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-25395200 = -1 · 215 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 3 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,240] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
1080/31 |
j-invariant |
L |
6.0677048663781 |
L(r)(E,1)/r! |
Ω |
1.5958643751432 |
Real period |
R |
0.95053579753755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600bl1 24800n1 49600cs1 |
Quadratic twists by: -4 8 5 |