Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840w |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
94197841920 = 216 · 35 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-479136,127814400] |
[a1,a2,a3,a4,a6] |
j |
2969894891179808929/22997520 |
j-invariant |
L |
1.47776742914 |
L(r)(E,1)/r! |
Ω |
0.73888371457001 |
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 |
2730ba1 87360gv1 65520di1 109200gg1 |
Quadratic twists by: -4 8 -3 5 |