Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800cb |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-71928000000000 = -1 · 212 · 35 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,867,-407637] |
[a1,a2,a3,a4,a6] |
Generators |
[273:4500:1] |
Generators of the group modulo torsion |
j |
1124864/1123875 |
j-invariant |
L |
6.8761531268784 |
L(r)(E,1)/r! |
Ω |
0.28655451683379 |
Real period |
R |
0.59989920967728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800d1 17760i1 |
Quadratic twists by: -4 5 |