Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104i |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-96032778688 = -1 · 26 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,686,13440] |
[a1,a2,a3,a4,a6] |
Generators |
[29:242:1] |
Generators of the group modulo torsion |
j |
314432/847 |
j-invariant |
L |
2.3847088901735 |
L(r)(E,1)/r! |
Ω |
0.74854753030209 |
Real period |
R |
1.5928907608653 |
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 |
27104n1 54208bk2 2464k1 |
Quadratic twists by: -4 8 -11 |