Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4598m |
Isogeny class |
Conductor |
4598 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-4598 = -1 · 2 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 1 0 1 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[212:-3:64] |
Generators of the group modulo torsion |
j |
-471625/38 |
j-invariant |
L |
6.2025839454398 |
L(r)(E,1)/r! |
Ω |
1.4119350046201 |
Real period |
R |
4.3929670453271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36784bg1 41382k1 114950l1 4598i1 |
Quadratic twists by: -4 -3 5 -11 |