Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2871b |
Isogeny class |
Conductor |
2871 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
464 |
Modular degree for the optimal curve |
Δ |
-94743 = -1 · 33 · 112 · 29 |
Discriminant |
Eigenvalues |
1 3+ -4 4 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-16] |
[a1,a2,a3,a4,a6] |
j |
-3176523/3509 |
j-invariant |
L |
1.3141848211285 |
L(r)(E,1)/r! |
Ω |
1.3141848211285 |
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 |
45936y1 2871a1 71775h1 31581b1 |
Quadratic twists by: -4 -3 5 -11 |