Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272bf |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-40321335296 = -1 · 214 · 113 · 432 |
Discriminant |
Eigenvalues |
2- -1 1 4 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,795,4093] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:473:8] |
Generators of the group modulo torsion |
j |
3387339776/2461019 |
j-invariant |
L |
5.8786366503328 |
L(r)(E,1)/r! |
Ω |
0.73028653700851 |
Real period |
R |
1.3416278753665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272f1 7568c1 |
Quadratic twists by: -4 8 |