Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560j |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-1966544276400 = -1 · 24 · 312 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1869,-59256] |
[a1,a2,a3,a4,a6] |
Generators |
[60:522:1] |
Generators of the group modulo torsion |
j |
45102357764096/122909017275 |
j-invariant |
L |
5.1344585855871 |
L(r)(E,1)/r! |
Ω |
0.42688839453343 |
Real period |
R |
1.0023030708124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280d1 |
Quadratic twists by: -4 |