Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680l |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
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 |
[-3:32:1] |
Generators of the group modulo torsion |
j |
3286064/7695 |
j-invariant |
L |
4.6868694355001 |
L(r)(E,1)/r! |
Ω |
1.0553232238609 |
Real period |
R |
2.2205848073508 |
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 |
6840m1 54720ei1 4560j1 68400bw1 |
Quadratic twists by: -4 8 -3 5 |