Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355y |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
-8.9074473770698E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31305497,-68922888856] |
[a1,a2,a3,a4,a6] |
j |
-39561225788358502201/1038574121484375 |
j-invariant |
L |
0.50981359721758 |
L(r)(E,1)/r! |
Ω |
0.031863349477555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785l1 9765f1 |
Quadratic twists by: -3 -7 |