Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4598g |
Isogeny class |
Conductor |
4598 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16632 |
Modular degree for the optimal curve |
Δ |
-521320798592 = -1 · 27 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3 0 0 11- -7 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5407,158285] |
[a1,a2,a3,a4,a6] |
j |
-81563625/2432 |
j-invariant |
L |
2.7709414681739 |
L(r)(E,1)/r! |
Ω |
0.92364715605798 |
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 |
36784bl1 41382bs1 114950co1 4598s1 |
Quadratic twists by: -4 -3 5 -11 |