Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440dg |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-39185107281510400 = -1 · 230 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8065,9525375] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:2660:1] |
Generators of the group modulo torsion |
j |
-221335335649/149479321600 |
j-invariant |
L |
4.0245854205759 |
L(r)(E,1)/r! |
Ω |
0.29424079357466 |
Real period |
R |
3.4194658826132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440ca1 17360s1 |
Quadratic twists by: -4 8 |