Atkin-Lehner |
2- 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cb |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
8027897856000000000 = 232 · 3 · 59 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-608438,-121851469] |
[a1,a2,a3,a4,a6] |
j |
1594236400645224601/513785462784000 |
j-invariant |
L |
2.8049719793336 |
L(r)(E,1)/r! |
Ω |
0.17531074871978 |
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 |
9570p1 |
Quadratic twists by: 5 |