Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870x |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
13416588900000000 = 28 · 38 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93834,9580788] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:4449:1] |
Generators of the group modulo torsion |
j |
125337052492018849/18404100000000 |
j-invariant |
L |
3.8177889472885 |
L(r)(E,1)/r! |
Ω |
0.3816280088778 |
Real period |
R |
0.62524710884608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960ea2 4290w2 64350ed2 |
Quadratic twists by: -4 -3 5 |