Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200x |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-16206750000 = -1 · 24 · 33 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183,6138] |
[a1,a2,a3,a4,a6] |
Generators |
[3:75:1] |
Generators of the group modulo torsion |
j |
-2725888/64827 |
j-invariant |
L |
4.1702653482076 |
L(r)(E,1)/r! |
Ω |
1.0382105228542 |
Real period |
R |
0.66946366791823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400f1 33600c1 12600m1 168b1 |
Quadratic twists by: -4 8 -3 5 |