Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440dq |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
1088819200000 = 215 · 55 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 -3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2572,-464] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-280:1] [-43:175:1] |
Generators of the group modulo torsion |
j |
57423104712/33228125 |
j-invariant |
L |
6.8965142271899 |
L(r)(E,1)/r! |
Ω |
0.73549083940038 |
Real period |
R |
0.15627917796867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440dm1 34720i1 |
Quadratic twists by: -4 8 |