Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680u |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-10045347594240 = -1 · 221 · 3 · 5 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5375,-17663] |
[a1,a2,a3,a4,a6] |
j |
65499561791/38319960 |
j-invariant |
L |
0.85359748596695 |
L(r)(E,1)/r! |
Ω |
0.42679845974457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680gn1 3990x1 |
Quadratic twists by: -4 8 |