Atkin-Lehner |
2- 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328cc |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
221524992 = 210 · 32 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189,765] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] [1:24:1] |
Generators of the group modulo torsion |
j |
733001728/216333 |
j-invariant |
L |
8.366407964263 |
L(r)(E,1)/r! |
Ω |
1.6443581160893 |
Real period |
R |
2.5439738098202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328x1 26832f1 |
Quadratic twists by: -4 8 |