Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ec |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-465776640000 = -1 · 215 · 32 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,41601] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:104:1] [1:200:1] |
Generators of the group modulo torsion |
j |
-13858588808/14214375 |
j-invariant |
L |
10.146970039076 |
L(r)(E,1)/r! |
Ω |
0.85152892886597 |
Real period |
R |
1.4895222129271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ex2 63840cb2 |
Quadratic twists by: -4 8 |