Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9570l |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
741837690000 = 24 · 36 · 54 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9918,377056] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:897:1] |
Generators of the group modulo torsion |
j |
107878047248536921/741837690000 |
j-invariant |
L |
4.091186198513 |
L(r)(E,1)/r! |
Ω |
0.90510153135026 |
Real period |
R |
0.37667838513189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560bq2 28710bg2 47850br2 105270ci2 |
Quadratic twists by: -4 -3 5 -11 |