Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870p |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
8185908107520 = 28 · 37 · 5 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8224380,9080321616] |
[a1,a2,a3,a4,a6] |
j |
84392862605474684114881/11228954880 |
j-invariant |
L |
0.84133587961351 |
L(r)(E,1)/r! |
Ω |
0.42066793980675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
102960dj3 4290bb3 64350el3 |
Quadratic twists by: -4 -3 5 |