Atkin-Lehner |
2- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10906h |
Isogeny class |
Conductor |
10906 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
869118509056 = 223 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7+ -2 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2594,-25041] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:163:1] |
Generators of the group modulo torsion |
j |
1930385697873697/869118509056 |
j-invariant |
L |
6.4382700846679 |
L(r)(E,1)/r! |
Ω |
0.69779686188897 |
Real period |
R |
0.20057756173633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248x1 98154j1 76342t1 |
Quadratic twists by: -4 -3 -7 |