Atkin-Lehner |
3- 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59985j |
Isogeny class |
Conductor |
59985 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-10626162795 = -1 · 313 · 5 · 31 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ 5 1 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,357,-4226] |
[a1,a2,a3,a4,a6] |
Generators |
[28:166:1] |
Generators of the group modulo torsion |
j |
6902411264/14576355 |
j-invariant |
L |
3.4895043524792 |
L(r)(E,1)/r! |
Ω |
0.66699161190497 |
Real period |
R |
2.6158532507834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19995f1 |
Quadratic twists by: -3 |