Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350bo |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
13905000000 = 26 · 33 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-605,-603] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:60:1] |
Generators of the group modulo torsion |
j |
57960603/32960 |
j-invariant |
L |
6.7677983132769 |
L(r)(E,1)/r! |
Ω |
1.0403176022749 |
Real period |
R |
0.54212597339617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46350f1 9270c1 |
Quadratic twists by: -3 5 |