Atkin-Lehner |
7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15631d |
Isogeny class |
Conductor |
15631 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-1088370899 = -1 · 76 · 11 · 292 |
Discriminant |
Eigenvalues |
2 3 -1 7- 11+ -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1813,29755] |
[a1,a2,a3,a4,a6] |
Generators |
[5334:1313:216] |
Generators of the group modulo torsion |
j |
-5601816576/9251 |
j-invariant |
L |
14.352586121106 |
L(r)(E,1)/r! |
Ω |
1.5503208553363 |
Real period |
R |
2.3144541453634 |
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 |
319a1 |
Quadratic twists by: -7 |