Atkin-Lehner |
3- 5+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675y |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
61152 |
Modular degree for the optimal curve |
Δ |
-94533075 = -1 · 37 · 52 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -1 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,112,149] |
[a1,a2,a3,a4,a6] |
Generators |
[26:185:8] |
Generators of the group modulo torsion |
j |
6159626240/3781323 |
j-invariant |
L |
16.93295516114 |
L(r)(E,1)/r! |
Ω |
1.1723670268823 |
Real period |
R |
2.0633415570208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999495717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129675r1 |
Quadratic twists by: 5 |