Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bl |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3329049972326400 = 214 · 310 · 52 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-961640,363276912] |
[a1,a2,a3,a4,a6] |
Generators |
[-646:26730:1] |
Generators of the group modulo torsion |
j |
24010531574690361961/812756340900 |
j-invariant |
L |
4.9065566475681 |
L(r)(E,1)/r! |
Ω |
0.41737719644196 |
Real period |
R |
2.9389223283526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993764 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130r2 |
Quadratic twists by: -4 |