Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-25235992857600 = -1 · 210 · 32 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2499,-237699] |
[a1,a2,a3,a4,a6] |
j |
1684801439744/24644524275 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
127680cq1 31920n1 |
Quadratic twists by: -4 8 |