Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306z |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2227462416 = -1 · 24 · 36 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -4 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,288,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-60:1] |
Generators of the group modulo torsion |
j |
4992881423/4210704 |
j-invariant |
L |
9.3566197393169 |
L(r)(E,1)/r! |
Ω |
0.94667812120289 |
Real period |
R |
0.20590903448467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306x1 |
Quadratic twists by: -23 |