Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127088j |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-386554960150528 = -1 · 217 · 137 · 47 |
Discriminant |
Eigenvalues |
2- -2 -4 0 0 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17520,-307436] |
[a1,a2,a3,a4,a6] |
Generators |
[290:5408:1] [108:1690:1] |
Generators of the group modulo torsion |
j |
30080231/19552 |
j-invariant |
L |
6.5033490704698 |
L(r)(E,1)/r! |
Ω |
0.30540253403926 |
Real period |
R |
1.3308970019294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15886e1 9776c1 |
Quadratic twists by: -4 13 |