Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cd |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-84981582397440 = -1 · 219 · 312 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 -3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,-443679] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/324179010 |
j-invariant |
L |
1.081007841388 |
L(r)(E,1)/r! |
Ω |
0.27025195997732 |
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 |
58560ba1 14640bm1 |
Quadratic twists by: -4 8 |