Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218b |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3924686207897928 = -1 · 23 · 34 · 116 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36786,4041756] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:2659:1] |
Generators of the group modulo torsion |
j |
-3107661785857/2215383048 |
j-invariant |
L |
1.5517518632863 |
L(r)(E,1)/r! |
Ω |
0.40581043178035 |
Real period |
R |
0.47797929210397 |
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 |
93654bq3 258d4 |
Quadratic twists by: -3 -11 |