Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680q |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
776294400000000 = 218 · 3 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2588481,-1602070719] |
[a1,a2,a3,a4,a6] |
Generators |
[66792:2279375:27] |
Generators of the group modulo torsion |
j |
7316761561829228881/2961328125 |
j-invariant |
L |
6.770681188487 |
L(r)(E,1)/r! |
Ω |
0.11902503171412 |
Real period |
R |
7.110564302218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000330086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fa6 1995h5 |
Quadratic twists by: -4 8 |