Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
91140j |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
85780238880000 = 28 · 3 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12805,339697] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:735:1] |
Generators of the group modulo torsion |
j |
157351936/58125 |
j-invariant |
L |
7.0110021826763 |
L(r)(E,1)/r! |
Ω |
0.55407876264909 |
Real period |
R |
1.0544533031187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91140o1 |
Quadratic twists by: -7 |