Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680d |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
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 |
[-112:49:1] |
Generators of the group modulo torsion |
j |
429456209353936/895505625 |
j-invariant |
L |
4.0341150160014 |
L(r)(E,1)/r! |
Ω |
0.33779460007832 |
Real period |
R |
2.9856272332906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677552 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680fo2 15960i2 |
Quadratic twists by: -4 8 |