Atkin-Lehner |
2+ 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65366b |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
130180459471552 = 26 · 78 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 0 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-255071,-49601870] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:169:1] [6031:463660:1] |
Generators of the group modulo torsion |
j |
318361248291625/22581952 |
j-invariant |
L |
8.8601120647524 |
L(r)(E,1)/r! |
Ω |
0.21244002107907 |
Real period |
R |
6.9510694671413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65366g2 |
Quadratic twists by: -7 |