Atkin-Lehner |
2- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352r |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-130950574616576 = -1 · 212 · 113 · 134 · 292 |
Discriminant |
Eigenvalues |
2- -1 -3 0 11- 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,923,-550771] |
[a1,a2,a3,a4,a6] |
Generators |
[260:4147:1] |
Generators of the group modulo torsion |
j |
21207928832/31970355131 |
j-invariant |
L |
3.5481839504508 |
L(r)(E,1)/r! |
Ω |
0.27204260285526 |
Real period |
R |
0.54344796141877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147b1 |
Quadratic twists by: -4 |