Atkin-Lehner |
3+ 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453g |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6746112 |
Modular degree for the optimal curve |
Δ |
-6.3710353040228E+21 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11690127,-15861213516] |
[a1,a2,a3,a4,a6] |
Generators |
[42574820:2135553301:8000] |
Generators of the group modulo torsion |
j |
-1501734514396884689377/54152906561235783 |
j-invariant |
L |
3.8523663153439 |
L(r)(E,1)/r! |
Ω |
0.040737638211027 |
Real period |
R |
7.8804402562627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779i1 |
Quadratic twists by: -7 |