Atkin-Lehner |
2+ 3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070l |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1390129987007E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9859050,20142772870] |
[a1,a2,a3,a4,a6] |
Generators |
[3431:161675:1] |
Generators of the group modulo torsion |
j |
-145378912561012629424801/156243209698315594890 |
j-invariant |
L |
4.8808958907743 |
L(r)(E,1)/r! |
Ω |
0.095608916024071 |
Real period |
R |
6.3813293960354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690m6 |
Quadratic twists by: -3 |