Atkin-Lehner |
3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565d |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-69835071915675 = -1 · 311 · 52 · 112 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 5 11- -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6686,-456586] |
[a1,a2,a3,a4,a6] |
j |
-253636928209/535869675 |
j-invariant |
L |
0.99011593593642 |
L(r)(E,1)/r! |
Ω |
0.24752898273739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59565q1 |
Quadratic twists by: -19 |