Atkin-Lehner |
2- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110200d |
Isogeny class |
Conductor |
110200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-63916000000 = -1 · 28 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -1 6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-12163] |
[a1,a2,a3,a4,a6] |
j |
-351232/15979 |
j-invariant |
L |
1.9340075388281 |
L(r)(E,1)/r! |
Ω |
0.48350169619889 |
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 |
4408a1 |
Quadratic twists by: 5 |