Atkin-Lehner |
2- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9758g |
Isogeny class |
Conductor |
9758 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-1279000576 = -1 · 218 · 7 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69,1729] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:43:1] [-6:47:1] |
Generators of the group modulo torsion |
j |
-36363385297/1279000576 |
j-invariant |
L |
5.6449228436903 |
L(r)(E,1)/r! |
Ω |
1.2747266349417 |
Real period |
R |
0.9840755376194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78064h1 87822m1 68306z1 |
Quadratic twists by: -4 -3 -7 |