Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
109800u |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1823506931250000 = 24 · 314 · 58 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120450,-15958375] |
[a1,a2,a3,a4,a6] |
Generators |
[520:7875:1] |
Generators of the group modulo torsion |
j |
1060416772096/10005525 |
j-invariant |
L |
5.5794960020669 |
L(r)(E,1)/r! |
Ω |
0.25641604755669 |
Real period |
R |
2.7199428640704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600w1 21960u1 |
Quadratic twists by: -3 5 |