Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400c |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
-207088000000 = -1 · 210 · 56 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2808,60388] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-86:1] |
Generators of the group modulo torsion |
j |
-153091012/12943 |
j-invariant |
L |
4.0590836980108 |
L(r)(E,1)/r! |
Ω |
0.98037807584964 |
Real period |
R |
1.0350812145406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999511543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60200p1 4816c1 |
Quadratic twists by: -4 5 |