Atkin-Lehner |
3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60333h |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-2770913691 = -1 · 39 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 0 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-407,3917] |
[a1,a2,a3,a4,a6] |
Generators |
[13:31:1] [-5:76:1] |
Generators of the group modulo torsion |
j |
-44226936832/16395939 |
j-invariant |
L |
8.1168650705528 |
L(r)(E,1)/r! |
Ω |
1.3496092961812 |
Real period |
R |
0.33412406808431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60333m1 |
Quadratic twists by: 13 |