Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962z |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-155579103523228 = -1 · 22 · 73 · 118 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19544,-1212452] |
[a1,a2,a3,a4,a6] |
Generators |
[9086:299241:8] |
Generators of the group modulo torsion |
j |
-466025146777/87820348 |
j-invariant |
L |
5.5350966677868 |
L(r)(E,1)/r! |
Ω |
0.19985015758772 |
Real period |
R |
6.9240584228163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542c1 |
Quadratic twists by: -11 |