Atkin-Lehner |
2- 3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bx |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
4.1137238516011E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9831947,-6748752229] |
[a1,a2,a3,a4,a6] |
Generators |
[-2069:69834:1] |
Generators of the group modulo torsion |
j |
144183222814759146828649/56429682463663718400 |
j-invariant |
L |
9.5864405920393 |
L(r)(E,1)/r! |
Ω |
0.088156963936928 |
Real period |
R |
1.510317532786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963681 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29670p2 |
Quadratic twists by: -3 |