Atkin-Lehner |
3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120159k |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-292713737246307 = -1 · 310 · 137 · 79 |
Discriminant |
Eigenvalues |
0 3- 2 -3 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11154,-939767] |
[a1,a2,a3,a4,a6] |
Generators |
[1378:11995:8] |
Generators of the group modulo torsion |
j |
-43614208/83187 |
j-invariant |
L |
6.4398346881394 |
L(r)(E,1)/r! |
Ω |
0.21864219598395 |
Real period |
R |
3.6817199620156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40053e1 9243e1 |
Quadratic twists by: -3 13 |