Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6448i |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-46768137568256 = -1 · 217 · 135 · 312 |
Discriminant |
Eigenvalues |
2- 1 1 -3 -2 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225680,-41342188] |
[a1,a2,a3,a4,a6] |
Generators |
[671:10478:1] |
Generators of the group modulo torsion |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
4.5054465505275 |
L(r)(E,1)/r! |
Ω |
0.10952043792582 |
Real period |
R |
2.0568976146622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
806f1 25792w1 58032bi1 83824x1 |
Quadratic twists by: -4 8 -3 13 |