Atkin-Lehner |
3- 5+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265h |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1210847148225 = 38 · 52 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6503,-193138] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:96:1] |
Generators of the group modulo torsion |
j |
41713327443241/1660970025 |
j-invariant |
L |
2.8316278913619 |
L(r)(E,1)/r! |
Ω |
0.53295569369702 |
Real period |
R |
1.3282660423681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000322302 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40755x2 |
Quadratic twists by: -3 |