Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6840f |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
3324240 = 24 · 37 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-858,9673] |
[a1,a2,a3,a4,a6] |
j |
5988775936/285 |
j-invariant |
L |
2.3671340820931 |
L(r)(E,1)/r! |
Ω |
2.3671340820931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680q1 54720cj1 2280j1 34200ck1 |
Quadratic twists by: -4 8 -3 5 |