Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bh |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-581455810546875 = -1 · 39 · 512 · 112 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- 2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1348050,-602431844] |
[a1,a2,a3,a4,a6] |
Generators |
[7726:670936:1] |
Generators of the group modulo torsion |
j |
-196566176333824/421875 |
j-invariant |
L |
3.986433538473 |
L(r)(E,1)/r! |
Ω |
0.070055623536368 |
Real period |
R |
7.1129791893214 |
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 |
9075g2 5445k2 27225bf2 |
Quadratic twists by: -3 5 -11 |