Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6708d |
Isogeny class |
Conductor |
6708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
6399995472 = 24 · 32 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1853,-29850] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:15:1] |
Generators of the group modulo torsion |
j |
44001181696000/399999717 |
j-invariant |
L |
3.9063414792175 |
L(r)(E,1)/r! |
Ω |
0.72803025339358 |
Real period |
R |
1.7885435671612 |
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 |
26832x1 107328s1 20124f1 87204a1 |
Quadratic twists by: -4 8 -3 13 |