Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56840n |
Isogeny class |
Conductor |
56840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
7915424720 = 24 · 5 · 76 · 292 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-555,2470] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:55:1] [3:29:1] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
7.4304917329246 |
L(r)(E,1)/r! |
Ω |
1.1889071779208 |
Real period |
R |
3.1249250870536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680h1 1160d1 |
Quadratic twists by: -4 -7 |