Atkin-Lehner |
3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775z |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-58866237421875 = -1 · 36 · 57 · 13 · 433 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,895,368772] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:170:1] [-36:555:1] |
Generators of the group modulo torsion |
j |
6967871/5167955 |
j-invariant |
L |
7.2581237821096 |
L(r)(E,1)/r! |
Ω |
0.48780708092851 |
Real period |
R |
1.2399238796479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13975c1 25155k1 |
Quadratic twists by: -3 5 |