Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830c |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-56697924024500 = -1 · 22 · 53 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8347,215857] |
[a1,a2,a3,a4,a6] |
j |
299979911/264500 |
j-invariant |
L |
1.633581070753 |
L(r)(E,1)/r! |
Ω |
0.40839526768829 |
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 |
27830p1 |
Quadratic twists by: -11 |