Atkin-Lehner |
2- 3- 11+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118404g |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-20480837650416 = -1 · 24 · 311 · 11 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 11+ 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6783,-34283] |
[a1,a2,a3,a4,a6] |
Generators |
[12:221:1] [116:1521:1] |
Generators of the group modulo torsion |
j |
2958977428736/1755901719 |
j-invariant |
L |
10.900596980396 |
L(r)(E,1)/r! |
Ω |
0.39937420007126 |
Real period |
R |
3.4117742783489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39468l1 |
Quadratic twists by: -3 |