Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gc |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-510000000000 = -1 · 210 · 3 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,867,32637] |
[a1,a2,a3,a4,a6] |
Generators |
[41:368:1] |
Generators of the group modulo torsion |
j |
4499456/31875 |
j-invariant |
L |
4.8446364710701 |
L(r)(E,1)/r! |
Ω |
0.67571590313891 |
Real period |
R |
3.5848175605607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600dm1 20400bb1 16320cs1 |
Quadratic twists by: -4 8 5 |