Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218f |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-58961093202 = -1 · 2 · 32 · 116 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,965,-1696] |
[a1,a2,a3,a4,a6] |
Generators |
[278:2035:8] |
Generators of the group modulo torsion |
j |
56181887/33282 |
j-invariant |
L |
6.376389890777 |
L(r)(E,1)/r! |
Ω |
0.65076338810071 |
Real period |
R |
2.4495807567581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93654bk2 258g2 |
Quadratic twists by: -3 -11 |