Atkin-Lehner |
3+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118203d |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.9132117237115E+24 |
Discriminant |
Eigenvalues |
1 3+ 2 -2 0 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-158074429,-762128841110] |
[a1,a2,a3,a4,a6] |
Generators |
[-45306620934336643439018558650081936959364743474250:-241035231009635903596089015881043075271338159175117:6453703764838248836863639139039091159265625000] |
Generators of the group modulo torsion |
j |
492196383783805928473/2155722578587791 |
j-invariant |
L |
6.0286908997421 |
L(r)(E,1)/r! |
Ω |
0.042589112891726 |
Real period |
R |
70.777371869723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998975955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3813c2 |
Quadratic twists by: -31 |