Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736n |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
131068515536 = 24 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1274,1715] |
[a1,a2,a3,a4,a6] |
Generators |
[-32263:180320:1331] |
Generators of the group modulo torsion |
j |
121485312/69629 |
j-invariant |
L |
5.9603042432088 |
L(r)(E,1)/r! |
Ω |
0.88974074799247 |
Real period |
R |
6.6989224183079 |
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 |
11368n1 90944cy1 3248c1 |
Quadratic twists by: -4 8 -7 |