Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bz |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
32102400 |
Modular degree for the optimal curve |
Δ |
9.4985324496175E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-273245893,-907694116405] |
[a1,a2,a3,a4,a6] |
Generators |
[112855:37435180:1] |
Generators of the group modulo torsion |
j |
1273586744879073781899625/536167394157891944448 |
j-invariant |
L |
8.2485250012018 |
L(r)(E,1)/r! |
Ω |
0.038554543241513 |
Real period |
R |
5.6301133180262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006b1 |
Quadratic twists by: -11 |