Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360bj |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
726669066240 = 217 · 38 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122763,-16555718] |
[a1,a2,a3,a4,a6] |
Generators |
[773:18720:1] |
Generators of the group modulo torsion |
j |
68523370149961/243360 |
j-invariant |
L |
4.588772618945 |
L(r)(E,1)/r! |
Ω |
0.25505437296019 |
Real period |
R |
2.2489188117455 |
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 |
1170j2 37440ft2 3120x2 46800ec2 |
Quadratic twists by: -4 8 -3 5 |