Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840t |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
21840 = 24 · 3 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-455,3588] |
[a1,a2,a3,a4,a6] |
j |
652517349376/1365 |
j-invariant |
L |
3.2873482273709 |
L(r)(E,1)/r! |
Ω |
3.2873482273709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920g1 87360eb1 65520t1 109200p1 |
Quadratic twists by: -4 8 -3 5 |