Atkin-Lehner |
2+ 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130bh |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-44248317120 = -1 · 26 · 36 · 5 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,562,8768] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:85:1] |
Generators of the group modulo torsion |
j |
8196923399/18429120 |
j-invariant |
L |
6.9751603736136 |
L(r)(E,1)/r! |
Ω |
0.7914667905468 |
Real period |
R |
0.24480427492718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130e1 |
Quadratic twists by: -7 |