Atkin-Lehner |
7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15631c |
Isogeny class |
Conductor |
15631 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
170428890450176281 = 712 · 114 · 292 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11+ -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177414,-20758972] |
[a1,a2,a3,a4,a6] |
Generators |
[155711990478:12872193523177:22425768] |
Generators of the group modulo torsion |
j |
5249244962308257/1448621666569 |
j-invariant |
L |
3.0630758115679 |
L(r)(E,1)/r! |
Ω |
0.23745901285757 |
Real period |
R |
12.899387455153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2233a2 |
Quadratic twists by: -7 |