Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830r |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
465120 |
Modular degree for the optimal curve |
Δ |
-462816055090216960 = -1 · 238 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,191359,5843839] |
[a1,a2,a3,a4,a6] |
j |
52929709207246751/31610959298560 |
j-invariant |
L |
6.8796614518124 |
L(r)(E,1)/r! |
Ω |
0.18104372241612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27830g1 |
Quadratic twists by: -11 |