Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700h |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-655922124000000 = -1 · 28 · 36 · 56 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20400,510500] |
[a1,a2,a3,a4,a6] |
Generators |
[44:1222:1] |
Generators of the group modulo torsion |
j |
321978368/224939 |
j-invariant |
L |
5.7807752846718 |
L(r)(E,1)/r! |
Ω |
0.32363395041005 |
Real period |
R |
2.9770132380861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999250669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300f1 5148d1 |
Quadratic twists by: -3 5 |