Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560ck |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-24145275345960960 = -1 · 243 · 32 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89121,12708801] |
[a1,a2,a3,a4,a6] |
Generators |
[5373:393216:1] |
Generators of the group modulo torsion |
j |
-298626824461321/92106915840 |
j-invariant |
L |
4.7087881777635 |
L(r)(E,1)/r! |
Ω |
0.35838860752176 |
Real period |
R |
1.6423471892457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560bi1 14640bg1 |
Quadratic twists by: -4 8 |