Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680eq |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-60532332134400 = -1 · 215 · 34 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3135,367137] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:540:1] [7:624:1] |
Generators of the group modulo torsion |
j |
103955596408/1847300175 |
j-invariant |
L |
10.968250696185 |
L(r)(E,1)/r! |
Ω |
0.46489248978509 |
Real period |
R |
5.8982726860894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gc3 63840bw2 |
Quadratic twists by: -4 8 |