Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114o |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
11528864105472 = 210 · 32 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9287,302474] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:274:1] |
Generators of the group modulo torsion |
j |
752825955673/97993728 |
j-invariant |
L |
3.5857668235999 |
L(r)(E,1)/r! |
Ω |
0.69016411733947 |
Real period |
R |
2.5977638749337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912bw1 27342be1 1302c1 |
Quadratic twists by: -4 -3 -7 |