Atkin-Lehner |
3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225w |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-328846010625 = -1 · 33 · 54 · 117 |
Discriminant |
Eigenvalues |
1 3+ 5- 3 11- -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,-27934] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-392:1] |
Generators of the group modulo torsion |
j |
-675/11 |
j-invariant |
L |
7.0808450381343 |
L(r)(E,1)/r! |
Ω |
0.41364852186486 |
Real period |
R |
1.426501942239 |
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 |
27225z1 27225m1 2475f1 |
Quadratic twists by: -3 5 -11 |