Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600cq |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
1922000000000 = 210 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- 4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5333,136037] |
[a1,a2,a3,a4,a6] |
Generators |
[40212:59489:729] |
Generators of the group modulo torsion |
j |
8388608/961 |
j-invariant |
L |
10.830565416378 |
L(r)(E,1)/r! |
Ω |
0.80460098342902 |
Real period |
R |
6.7303953384498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600bh1 12400ba1 49600cr1 |
Quadratic twists by: -4 8 5 |