Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6840m |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1436071680 = -1 · 28 · 310 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,-1582] |
[a1,a2,a3,a4,a6] |
Generators |
[13:54:1] |
Generators of the group modulo torsion |
j |
3286064/7695 |
j-invariant |
L |
3.6713513043986 |
L(r)(E,1)/r! |
Ω |
0.78434623804452 |
Real period |
R |
1.1701947196023 |
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 |
13680l1 54720cc1 2280a1 34200q1 |
Quadratic twists by: -4 8 -3 5 |