Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cg |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-587531776320 = -1 · 26 · 38 · 5 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1047,-39116] |
[a1,a2,a3,a4,a6] |
Generators |
[209800:4232439:512] |
Generators of the group modulo torsion |
j |
-2720547136/12592845 |
j-invariant |
L |
6.9456297403535 |
L(r)(E,1)/r! |
Ω |
0.38028428492038 |
Real period |
R |
9.1321545698492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240cs1 33120g2 22080bc1 |
Quadratic twists by: -4 8 -3 |