Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680el |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2690325872640000 = -1 · 219 · 32 · 54 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30975,1340577] |
[a1,a2,a3,a4,a6] |
j |
12537291235391/10262778750 |
j-invariant |
L |
2.3498094165957 |
L(r)(E,1)/r! |
Ω |
0.29372614528275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680db3 31920bm3 |
Quadratic twists by: -4 8 |