Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200p |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-19293750000 = -1 · 24 · 32 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,6713] |
[a1,a2,a3,a4,a6] |
Generators |
[8:75:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
4.2911693278571 |
L(r)(E,1)/r! |
Ω |
1.0270530596048 |
Real period |
R |
0.34817815948642 |
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 |
8400p1 33600bo1 12600ci1 4200s1 |
Quadratic twists by: -4 8 -3 5 |