Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314be |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
22763510085888 = 28 · 33 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15995,-739989] |
[a1,a2,a3,a4,a6] |
Generators |
[179:1362:1] |
Generators of the group modulo torsion |
j |
9460870875/475904 |
j-invariant |
L |
9.2581763931195 |
L(r)(E,1)/r! |
Ω |
0.42585351070062 |
Real period |
R |
0.67938388439957 |
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 |
28314c1 2574c1 |
Quadratic twists by: -3 -11 |