Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560ch |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-572904119715840000 = -1 · 214 · 32 · 54 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32920,36478100] |
[a1,a2,a3,a4,a6] |
Generators |
[260:6750:1] |
Generators of the group modulo torsion |
j |
-963288634285081/139869169852500 |
j-invariant |
L |
6.6758906682382 |
L(r)(E,1)/r! |
Ω |
0.23813495576209 |
Real period |
R |
3.5042580412574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570e4 |
Quadratic twists by: -4 |