Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680w |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
22708224 |
Modular degree for the optimal curve |
Δ |
9.1048690886857E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-331881671,1818675944910] |
[a1,a2,a3,a4,a6] |
j |
2147658844706816042407936/483688189481299210485 |
j-invariant |
L |
1.9700538739291 |
L(r)(E,1)/r! |
Ω |
0.046906044688315 |
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 |
129360k1 9240g1 |
Quadratic twists by: -4 -7 |