Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400bf |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1936530399283200 = 211 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212088,37464048] |
[a1,a2,a3,a4,a6] |
j |
3574536770/6561 |
j-invariant |
L |
3.7413397221242 |
L(r)(E,1)/r! |
Ω |
0.46766746526561 |
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 |
58800h1 88200fs1 29400db1 29400i1 |
Quadratic twists by: -4 -3 5 -7 |