Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dm |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
68558400000000 = 212 · 34 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69033,-6992937] |
[a1,a2,a3,a4,a6] |
Generators |
[579:12144:1] |
Generators of the group modulo torsion |
j |
568486650304/1071225 |
j-invariant |
L |
7.4536179246707 |
L(r)(E,1)/r! |
Ω |
0.29456694046421 |
Real period |
R |
3.1629558759772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057679 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400a2 55200bq1 22080a2 |
Quadratic twists by: -4 8 5 |