Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328by |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
221524992 = 210 · 32 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32045,-2197299] |
[a1,a2,a3,a4,a6] |
Generators |
[1772:74175:1] |
Generators of the group modulo torsion |
j |
3554005829453824/216333 |
j-invariant |
L |
3.6442567511649 |
L(r)(E,1)/r! |
Ω |
0.3568275334237 |
Real period |
R |
5.1064680572747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998583974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bk1 26832i1 |
Quadratic twists by: -4 8 |