Atkin-Lehner |
3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225t |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-2041875 = -1 · 33 · 54 · 112 |
Discriminant |
Eigenvalues |
0 3+ 5- -5 11- 7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[5:7:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.2412551342126 |
L(r)(E,1)/r! |
Ω |
1.1999217641132 |
Real period |
R |
0.45020367593274 |
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 |
27225t2 27225c1 27225r1 |
Quadratic twists by: -3 5 -11 |