Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640w |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9280 |
Modular degree for the optimal curve |
Δ |
-51752960 = -1 · 212 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 3 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1552,23536] |
[a1,a2,a3,a4,a6] |
Generators |
[25:19:1] |
Generators of the group modulo torsion |
j |
-100934332416/12635 |
j-invariant |
L |
3.0736564373507 |
L(r)(E,1)/r! |
Ω |
1.924047804555 |
Real period |
R |
0.79874741939211 |
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 |
665e1 42560ch1 95760db1 53200co1 |
Quadratic twists by: -4 8 -3 5 |