Atkin-Lehner |
2+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366f |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34922496 |
Modular degree for the optimal curve |
Δ |
-1.020970483661E+26 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-529364715,-4713107955706] |
[a1,a2,a3,a4,a6] |
j |
-139444195316122186685933977/867810592237096964848 |
j-invariant |
L |
0.56633287929761 |
L(r)(E,1)/r! |
Ω |
0.015731469065735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338b1 |
Quadratic twists by: -7 |