Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320w |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-14084437500000000 = -1 · 28 · 32 · 512 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54284,-2966080] |
[a1,a2,a3,a4,a6] |
j |
69102104159696816/55017333984375 |
j-invariant |
L |
2.641032301614 |
L(r)(E,1)/r! |
Ω |
0.22008602558035 |
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 |
122640b1 |
Quadratic twists by: -4 |