Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bd |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-1319376093750000 = -1 · 24 · 310 · 510 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-553125,-158346875] |
[a1,a2,a3,a4,a6] |
Generators |
[1259:33777:1] |
Generators of the group modulo torsion |
j |
-164303200000/11583 |
j-invariant |
L |
5.0125965987731 |
L(r)(E,1)/r! |
Ω |
0.087531002010661 |
Real period |
R |
4.7722106991292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900bb1 128700cb1 |
Quadratic twists by: -3 5 |