Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200go |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
26417664000 = 212 · 34 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1568,22068] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:168:1] [-17:210:1] |
Generators of the group modulo torsion |
j |
833237621/51597 |
j-invariant |
L |
13.652239840664 |
L(r)(E,1)/r! |
Ω |
1.1686659704674 |
Real period |
R |
0.73011879502069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825f1 109200ez1 |
Quadratic twists by: -4 5 |