Atkin-Lehner |
2- 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030bm |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1.2409856203012E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,110488,-168926101] |
[a1,a2,a3,a4,a6] |
Generators |
[987:-30509:1] |
Generators of the group modulo torsion |
j |
204618645563149511/17023122363528000 |
j-invariant |
L |
9.4403633748016 |
L(r)(E,1)/r! |
Ω |
0.10706711063106 |
Real period |
R |
1.2246165718687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010k2 |
Quadratic twists by: -3 |