Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680be |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
132047677440000 = 214 · 36 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19985,-929775] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:320:1] |
Generators of the group modulo torsion |
j |
53881287098704/8059550625 |
j-invariant |
L |
6.9263320660505 |
L(r)(E,1)/r! |
Ω |
0.40555700380682 |
Real period |
R |
2.1348207353173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082888 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680gl2 15960n2 |
Quadratic twists by: -4 8 |