Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350bi |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-14861825000000 = -1 · 26 · 58 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11+ -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1513,-186983] |
[a1,a2,a3,a4,a6] |
j |
-980614705/38046272 |
j-invariant |
L |
3.6749304133913 |
L(r)(E,1)/r! |
Ω |
0.30624420111594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74800di1 84150dj1 9350a1 102850bk1 |
Quadratic twists by: -4 -3 5 -11 |