Atkin-Lehner |
2- 3- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76212k |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
395083008 = 28 · 36 · 29 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 2 1 -6 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,1620] |
[a1,a2,a3,a4,a6] |
j |
14155776/2117 |
j-invariant |
L |
3.2356408441473 |
L(r)(E,1)/r! |
Ω |
1.6178204280255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8468a1 |
Quadratic twists by: -3 |