Atkin-Lehner |
3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
60225d |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-301840171875 = -1 · 37 · 56 · 112 · 73 |
Discriminant |
Eigenvalues |
2 3+ 5+ 4 11+ 6 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-808,28143] |
[a1,a2,a3,a4,a6] |
j |
-3738308608/19317771 |
j-invariant |
L |
6.7266185722619 |
L(r)(E,1)/r! |
Ω |
0.84082732195145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2409d1 |
Quadratic twists by: 5 |