Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ds |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
3206250000 = 24 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -6 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16125,-788125] |
[a1,a2,a3,a4,a6] |
Generators |
[-4700:75:64] |
Generators of the group modulo torsion |
j |
2747761920/19 |
j-invariant |
L |
5.4904874316028 |
L(r)(E,1)/r! |
Ω |
0.42366716242984 |
Real period |
R |
2.1599059818413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100i1 68400dr2 68400dg1 |
Quadratic twists by: -4 -3 5 |