Atkin-Lehner |
2- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
122960k |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-26472796160 = -1 · 212 · 5 · 293 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 5 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3256,-70864] |
[a1,a2,a3,a4,a6] |
Generators |
[89:580:1] |
Generators of the group modulo torsion |
j |
-932288503609/6463085 |
j-invariant |
L |
4.844779349183 |
L(r)(E,1)/r! |
Ω |
0.31586935106425 |
Real period |
R |
2.556320224786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000177696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7685c1 |
Quadratic twists by: -4 |