Atkin-Lehner |
2- 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10578h |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
3046464 = 26 · 33 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-989,11889] |
[a1,a2,a3,a4,a6] |
Generators |
[16:7:1] |
Generators of the group modulo torsion |
j |
106989222612817/3046464 |
j-invariant |
L |
6.9469491104855 |
L(r)(E,1)/r! |
Ω |
2.3540993224648 |
Real period |
R |
0.65577796750752 |
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 |
84624k1 31734e1 |
Quadratic twists by: -4 -3 |