Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
69580n |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1034208 |
Modular degree for the optimal curve |
Δ |
-1.00278713395E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 6 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,211288,-147699916] |
[a1,a2,a3,a4,a6] |
j |
14425399296/138671875 |
j-invariant |
L |
1.0187865516841 |
L(r)(E,1)/r! |
Ω |
0.11319850752071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69580a1 |
Quadratic twists by: -7 |