Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830h |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-54232796893000 = -1 · 23 · 53 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 11- -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1913739,1018835486] |
[a1,a2,a3,a4,a6] |
Generators |
[780:517:1] |
Generators of the group modulo torsion |
j |
-437537617105223809/30613000 |
j-invariant |
L |
2.0934494646508 |
L(r)(E,1)/r! |
Ω |
0.47769350388874 |
Real period |
R |
2.1912057078533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530f2 |
Quadratic twists by: -11 |