Atkin-Lehner |
2+ 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bb |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3223754100000000 = 28 · 33 · 58 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37100,-333252] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1500:1] |
Generators of the group modulo torsion |
j |
22060592966462416/12592789453125 |
j-invariant |
L |
9.3613916863533 |
L(r)(E,1)/r! |
Ω |
0.37237361534495 |
Real period |
R |
1.0474909377534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560z2 |
Quadratic twists by: -4 |