Atkin-Lehner |
2+ 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672j |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
77143248 = 24 · 32 · 72 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183,918] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:42:1] [22:84:1] |
Generators of the group modulo torsion |
j |
42592000000/4821453 |
j-invariant |
L |
10.874136105402 |
L(r)(E,1)/r! |
Ω |
1.8711662228412 |
Real period |
R |
2.9057108805947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336n1 |
Quadratic twists by: -4 |