Atkin-Lehner |
3- 7+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114471i |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-408824167746771 = -1 · 311 · 74 · 233 · 79 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 3 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-163722,-25516701] |
[a1,a2,a3,a4,a6] |
Generators |
[2033:89689:1] |
Generators of the group modulo torsion |
j |
-665759400883093504/560801327499 |
j-invariant |
L |
6.2915378663094 |
L(r)(E,1)/r! |
Ω |
0.11866451287193 |
Real period |
R |
6.6274424443678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157i1 |
Quadratic twists by: -3 |