Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27104r |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-473249533374464 = -1 · 212 · 72 · 119 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549,1050997] |
[a1,a2,a3,a4,a6] |
Generators |
[444:9317:1] |
Generators of the group modulo torsion |
j |
-512/49 |
j-invariant |
L |
5.7368815649165 |
L(r)(E,1)/r! |
Ω |
0.4321656199188 |
Real period |
R |
1.6593411473807 |
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 |
27104a1 54208v1 27104b1 |
Quadratic twists by: -4 8 -11 |