Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600u |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
14652900000000 = 28 · 37 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-377175,89158250] |
[a1,a2,a3,a4,a6] |
Generators |
[110:7000:1] |
Generators of the group modulo torsion |
j |
2035002230224/5025 |
j-invariant |
L |
8.4136499154545 |
L(r)(E,1)/r! |
Ω |
0.60767744139095 |
Real period |
R |
3.4613963507806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200x1 24120w1 |
Quadratic twists by: -3 5 |