Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60016h |
Isogeny class |
Conductor |
60016 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-98190604357440496 = -1 · 24 · 118 · 315 |
Discriminant |
Eigenvalues |
2+ -2 -3 3 11- 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5925652,-5554032849] |
[a1,a2,a3,a4,a6] |
Generators |
[1066499:26770577:343] |
Generators of the group modulo torsion |
j |
-811813221498166528/3464127271 |
j-invariant |
L |
3.960669035893 |
L(r)(E,1)/r! |
Ω |
0.048382177009158 |
Real period |
R |
8.1862150087074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30008f1 5456e1 |
Quadratic twists by: -4 -11 |