Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7632j |
Isogeny class |
Conductor |
7632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-560063198527488 = -1 · 229 · 39 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -1 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20373,209050] |
[a1,a2,a3,a4,a6] |
Generators |
[117:2048:1] |
Generators of the group modulo torsion |
j |
313185171671/187564032 |
j-invariant |
L |
2.7143981370667 |
L(r)(E,1)/r! |
Ω |
0.31719482281226 |
Real period |
R |
1.069688855969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
954j1 30528by1 2544g1 |
Quadratic twists by: -4 8 -3 |