Atkin-Lehner |
2+ 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920r |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-11048400000000 = -1 · 210 · 34 · 58 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5400,49248] |
[a1,a2,a3,a4,a6] |
Generators |
[36:540:1] |
Generators of the group modulo torsion |
j |
17002962914396/10789453125 |
j-invariant |
L |
7.4315861403719 |
L(r)(E,1)/r! |
Ω |
0.44696539405594 |
Real period |
R |
1.039172472746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840k3 122760bo3 |
Quadratic twists by: -4 -3 |