Atkin-Lehner |
2+ 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306c |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2137344 |
Modular degree for the optimal curve |
Δ |
-759454432297977856 = -1 · 211 · 1110 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ -2 -3 -3 11- -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139395,-46479490] |
[a1,a2,a3,a4,a6] |
j |
-11548723153/29280256 |
j-invariant |
L |
0.23001260574249 |
L(r)(E,1)/r! |
Ω |
0.11500565531941 |
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 |
119306w1 |
Quadratic twists by: -11 |