Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cm |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3978224948049E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7152961,-7142664001] |
[a1,a2,a3,a4,a6] |
Generators |
[11237:1153908:1] |
Generators of the group modulo torsion |
j |
154397911818504177361/5332269648761280 |
j-invariant |
L |
7.4910275439561 |
L(r)(E,1)/r! |
Ω |
0.092512061026071 |
Real period |
R |
6.7477936217819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640c3 14160r3 |
Quadratic twists by: -4 8 |