Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560ce |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-202118400 = -1 · 28 · 32 · 52 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100,600] |
[a1,a2,a3,a4,a6] |
Generators |
[75:660:1] |
Generators of the group modulo torsion |
j |
427694384/789525 |
j-invariant |
L |
8.8273118401477 |
L(r)(E,1)/r! |
Ω |
1.2270257699524 |
Real period |
R |
3.5970360427736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140e2 |
Quadratic twists by: -4 |