Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830f |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11339584804900 = 22 · 52 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5770,-45600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:110:1] |
Generators of the group modulo torsion |
j |
11993263569/6400900 |
j-invariant |
L |
3.6934672540337 |
L(r)(E,1)/r! |
Ω |
0.58230251033722 |
Real period |
R |
3.1714333945553 |
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 |
2530j2 |
Quadratic twists by: -11 |