Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6840p |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
336856320 = 28 · 36 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,-358] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:18:1] |
Generators of the group modulo torsion |
j |
3631696/1805 |
j-invariant |
L |
4.497246650368 |
L(r)(E,1)/r! |
Ω |
1.3663378654293 |
Real period |
R |
0.82286504022103 |
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 |
13680s2 54720cn2 760a2 34200x2 |
Quadratic twists by: -4 8 -3 5 |