Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225by |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-17056037109375 = -1 · 38 · 59 · 113 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1805,-200428] |
[a1,a2,a3,a4,a6] |
Generators |
[598:14271:1] |
Generators of the group modulo torsion |
j |
-343/9 |
j-invariant |
L |
3.8821287184095 |
L(r)(E,1)/r! |
Ω |
0.30063522705135 |
Real period |
R |
6.4565432941537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9075q1 27225bv1 27225bu1 |
Quadratic twists by: -3 5 -11 |