Atkin-Lehner |
2- 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8742i |
Isogeny class |
Conductor |
8742 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-59941306368 = -1 · 214 · 34 · 312 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,557,-10591] |
[a1,a2,a3,a4,a6] |
Generators |
[20:83:1] |
Generators of the group modulo torsion |
j |
19109114615375/59941306368 |
j-invariant |
L |
7.5858513939157 |
L(r)(E,1)/r! |
Ω |
0.56781606121562 |
Real period |
R |
0.47713209007933 |
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 |
69936o1 26226d1 |
Quadratic twists by: -4 -3 |