Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cz |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
3818796613632 = 218 · 33 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40600,3133844] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-462:1] |
Generators of the group modulo torsion |
j |
1806976738085401/932323392 |
j-invariant |
L |
5.7892207140583 |
L(r)(E,1)/r! |
Ω |
0.77495239919442 |
Real period |
R |
0.41502339154957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006c1 |
Quadratic twists by: -4 |