Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962w |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-107480520835072 = -1 · 214 · 7 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4172,-486155] |
[a1,a2,a3,a4,a6] |
Generators |
[1645:65969:1] |
Generators of the group modulo torsion |
j |
4533086375/60669952 |
j-invariant |
L |
12.14657145518 |
L(r)(E,1)/r! |
Ω |
0.29149033666462 |
Real period |
R |
1.4882350075929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322b1 |
Quadratic twists by: -11 |