Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200bm |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-296460000000 = -1 · 28 · 35 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 4 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,467,-26063] |
[a1,a2,a3,a4,a6] |
j |
2809856/74115 |
j-invariant |
L |
3.7599037207284 |
L(r)(E,1)/r! |
Ω |
0.46998796721981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300i1 14640bd1 |
Quadratic twists by: -4 5 |