Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fo |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
14671964160000 = 214 · 34 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39921,3051279] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:2400:1] |
Generators of the group modulo torsion |
j |
429456209353936/895505625 |
j-invariant |
L |
9.2769918423777 |
L(r)(E,1)/r! |
Ω |
0.70315376854302 |
Real period |
R |
1.6491755127472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030356 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680d2 31920k2 |
Quadratic twists by: -4 8 |