Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880w |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2126325600000000 = 211 · 33 · 58 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57440,4792788] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-1500:1] |
Generators of the group modulo torsion |
j |
10233981188464322/1038244921875 |
j-invariant |
L |
8.0117613643086 |
L(r)(E,1)/r! |
Ω |
0.4503045590268 |
Real period |
R |
0.37066401336766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440t3 |
Quadratic twists by: -4 |