Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333f |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36179520 |
Modular degree for the optimal curve |
Δ |
-1.0554536252669E+27 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- -4 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,60539800,1552496555924] |
[a1,a2,a3,a4,a6] |
Generators |
[-6677:922253:1] |
Generators of the group modulo torsion |
j |
177997182325354496/7656065368994259 |
j-invariant |
L |
2.4984638738832 |
L(r)(E,1)/r! |
Ω |
0.037250977576131 |
Real period |
R |
6.7071095485595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60333b1 |
Quadratic twists by: 13 |