Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450x |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1233700 = -1 · 22 · 52 · 132 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12,52] |
[a1,a2,a3,a4,a6] |
Generators |
[8:22:1] |
Generators of the group modulo torsion |
j |
7604375/49348 |
j-invariant |
L |
6.2621570225686 |
L(r)(E,1)/r! |
Ω |
1.9796729646026 |
Real period |
R |
0.79080700885139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47450n1 |
Quadratic twists by: 5 |