Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4512n |
Isogeny class |
Conductor |
4512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
577536 = 212 · 3 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 1 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1741,-28549] |
[a1,a2,a3,a4,a6] |
Generators |
[-3055:12:125] |
Generators of the group modulo torsion |
j |
142563879424/141 |
j-invariant |
L |
3.9354645604124 |
L(r)(E,1)/r! |
Ω |
0.73905898641205 |
Real period |
R |
2.662483396297 |
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 |
4512j1 9024bc1 13536n1 112800k1 |
Quadratic twists by: -4 8 -3 5 |