Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bi |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
62741250 = 2 · 33 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-332,-2211] |
[a1,a2,a3,a4,a6] |
j |
149467669443/2323750 |
j-invariant |
L |
4.4790553678243 |
L(r)(E,1)/r! |
Ω |
1.1197638419561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960cq2 12870b2 64350c2 |
Quadratic twists by: -4 -3 5 |