Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ee |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
184045118423040000 = 222 · 34 · 54 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1986241,1077911905] |
[a1,a2,a3,a4,a6] |
j |
3305824819139208241/702076410000 |
j-invariant |
L |
2.4878974587529 |
L(r)(E,1)/r! |
Ω |
0.31098737602002 |
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 |
127680bz4 31920bx4 |
Quadratic twists by: -4 8 |