Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-22618128960 = -1 · 26 · 312 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,644,-3370] |
[a1,a2,a3,a4,a6] |
Generators |
[41:306:1] [329:5994:1] |
Generators of the group modulo torsion |
j |
460815199424/353408265 |
j-invariant |
L |
12.760840411131 |
L(r)(E,1)/r! |
Ω |
0.6718540892425 |
Real period |
R |
6.3311566301616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dt1 63840i2 |
Quadratic twists by: -4 8 |