Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350y |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-15895000000 = -1 · 26 · 57 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1105,-15103] |
[a1,a2,a3,a4,a6] |
Generators |
[59:320:1] |
Generators of the group modulo torsion |
j |
-9541617561/1017280 |
j-invariant |
L |
7.0348925971935 |
L(r)(E,1)/r! |
Ω |
0.4115779044805 |
Real period |
R |
1.4243744462086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74800y1 84150bz1 1870f1 102850n1 |
Quadratic twists by: -4 -3 5 -11 |