Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bu |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-6199977738240 = -1 · 215 · 37 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149918,22380077] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:6403:1] |
Generators of the group modulo torsion |
j |
-511157582445795481/8504770560 |
j-invariant |
L |
6.6119040750187 |
L(r)(E,1)/r! |
Ω |
0.69165540697952 |
Real period |
R |
0.4779767502934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102960de2 4290n2 64350bj2 |
Quadratic twists by: -4 -3 5 |