Atkin-Lehner |
5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1045b |
Isogeny class |
Conductor |
1045 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2223652969140625 = 58 · 112 · 196 |
Discriminant |
Eigenvalues |
1 0 5- 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-982414,-374539305] |
[a1,a2,a3,a4,a6] |
Generators |
[5206:365617:1] |
Generators of the group modulo torsion |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
3.0277046455138 |
L(r)(E,1)/r! |
Ω |
0.15164442574915 |
Real period |
R |
3.3276359379917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16720bh2 66880m2 9405i2 5225b2 |
Quadratic twists by: -4 8 -3 5 |