Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9310m |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-10014282880 = -1 · 27 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -3 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20018,-1091772] |
[a1,a2,a3,a4,a6] |
j |
-7539913083529/85120 |
j-invariant |
L |
0.80274328967123 |
L(r)(E,1)/r! |
Ω |
0.20068582241781 |
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 |
74480cl1 83790el1 46550cn1 1330b1 |
Quadratic twists by: -4 -3 5 -7 |