Atkin-Lehner |
3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225o |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-1648135099501171875 = -1 · 39 · 58 · 118 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 11- -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-898425,333540281] |
[a1,a2,a3,a4,a6] |
j |
-1216512/25 |
j-invariant |
L |
3.196949147721 |
L(r)(E,1)/r! |
Ω |
0.26641242897678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27225q1 5445d1 27225p1 |
Quadratic twists by: -3 5 -11 |