Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576o |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-12033959992752 = -1 · 24 · 3 · 196 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3043,-154908] |
[a1,a2,a3,a4,a6] |
j |
194700407078912/752122499547 |
j-invariant |
L |
0.36222476907451 |
L(r)(E,1)/r! |
Ω |
0.3622247746678 |
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 |
16644a1 |
Quadratic twists by: -4 |