Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9120d |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
264128372413632000 = 29 · 35 · 53 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-367440,-81963288] |
[a1,a2,a3,a4,a6] |
j |
10715544157908977288/515875727370375 |
j-invariant |
L |
1.1669403808433 |
L(r)(E,1)/r! |
Ω |
0.19449006347389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9120r3 18240bf3 27360v3 45600bo3 |
Quadratic twists by: -4 8 -3 5 |