Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864bi |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-11924155687901184 = -1 · 211 · 315 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363531,84528038] |
[a1,a2,a3,a4,a6] |
Generators |
[3026:8541:8] |
Generators of the group modulo torsion |
j |
-1482171386066/3326427 |
j-invariant |
L |
6.923916815102 |
L(r)(E,1)/r! |
Ω |
0.40249708517124 |
Real period |
R |
4.30060059451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728q1 15288c1 45864cb1 |
Quadratic twists by: -4 -3 -7 |