Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
68643664640409600 = 216 · 38 · 52 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143521,16753345] |
[a1,a2,a3,a4,a6] |
j |
4988766332702884/1047419199225 |
j-invariant |
L |
1.313063073931 |
L(r)(E,1)/r! |
Ω |
0.32826569167181 |
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 |
127680cq3 31920n3 |
Quadratic twists by: -4 8 |