Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680eb |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1513308303360000 = -1 · 215 · 34 · 54 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12159,1795041] |
[a1,a2,a3,a4,a6] |
j |
6066408257272/46182504375 |
j-invariant |
L |
2.7825722842876 |
L(r)(E,1)/r! |
Ω |
0.3478214208181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ev3 63840ca2 |
Quadratic twists by: -4 8 |