Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4598c |
Isogeny class |
Conductor |
4598 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89760 |
Modular degree for the optimal curve |
Δ |
-13520764445707684 = -1 · 22 · 1110 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -1 4 11- 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2711330,1719076904] |
[a1,a2,a3,a4,a6] |
j |
-84985354223649/521284 |
j-invariant |
L |
1.4163249712627 |
L(r)(E,1)/r! |
Ω |
0.35408124281566 |
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 |
36784z1 41382bv1 114950cd1 4598q1 |
Quadratic twists by: -4 -3 5 -11 |