Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5152b |
Isogeny class |
Conductor |
5152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-125368768 = -1 · 26 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-350,2464] |
[a1,a2,a3,a4,a6] |
Generators |
[1:46:1] |
Generators of the group modulo torsion |
j |
-74299881664/1958887 |
j-invariant |
L |
1.7479710947495 |
L(r)(E,1)/r! |
Ω |
1.8522595130997 |
Real period |
R |
0.47184832427297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5152a1 10304bk1 46368bq1 128800x1 |
Quadratic twists by: -4 8 -3 5 |