Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bu |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-722437573893750000 = -1 · 24 · 314 · 58 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143625,45948125] |
[a1,a2,a3,a4,a6] |
Generators |
[484:9477:1] |
Generators of the group modulo torsion |
j |
-71912815360/158559687 |
j-invariant |
L |
4.607673317069 |
L(r)(E,1)/r! |
Ω |
0.2533025493648 |
Real period |
R |
1.5158662047226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900u1 128700j1 |
Quadratic twists by: -3 5 |