Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840cc |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2415329280 = -1 · 216 · 34 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-2380] |
[a1,a2,a3,a4,a6] |
j |
-1771561/589680 |
j-invariant |
L |
2.5995147685375 |
L(r)(E,1)/r! |
Ω |
0.64987869213439 |
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 |
2730h1 87360ef1 65520cm1 109200dv1 |
Quadratic twists by: -4 8 -3 5 |