Atkin-Lehner |
2- 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bg |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1202688 |
Modular degree for the optimal curve |
Δ |
104937540644178000 = 24 · 36 · 53 · 112 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119801,-3398040] |
[a1,a2,a3,a4,a6] |
j |
11884712607122243584/6558596290261125 |
j-invariant |
L |
1.6479603613789 |
L(r)(E,1)/r! |
Ω |
0.2746600680555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140f1 |
Quadratic twists by: -4 |