Atkin-Lehner |
3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2871a |
Isogeny class |
Conductor |
2871 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
182087433 = 39 · 11 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 4 4 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1568,24274] |
[a1,a2,a3,a4,a6] |
j |
21647657403/9251 |
j-invariant |
L |
1.7709594766058 |
L(r)(E,1)/r! |
Ω |
1.7709594766058 |
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 |
45936be2 2871b2 71775c2 31581a2 |
Quadratic twists by: -4 -3 5 -11 |