Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bq |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3249878248053421875 = -1 · 36 · 56 · 1111 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-281325,-104025969] |
[a1,a2,a3,a4,a6] |
Generators |
[9990552730365396618:-250581881567115675377:9894341542822568] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
10.424158129825 |
L(r)(E,1)/r! |
Ω |
0.098807810330161 |
Real period |
R |
26.374833363358 |
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 |
3025g2 1089j2 2475h2 |
Quadratic twists by: -3 5 -11 |