Atkin-Lehner |
2+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650k |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-774656000000 = -1 · 215 · 56 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 0 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2183,15341] |
[a1,a2,a3,a4,a6] |
Generators |
[5665847922:56277809821:70957944] |
Generators of the group modulo torsion |
j |
73612739871/49577984 |
j-invariant |
L |
9.4497727902347 |
L(r)(E,1)/r! |
Ω |
0.56422166075994 |
Real period |
R |
16.748333940031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3026c1 |
Quadratic twists by: 5 |