Atkin-Lehner |
2+ 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672j |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9037287168 = -1 · 28 · 3 · 74 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,252,4224] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:56:1] [41:286:1] |
Generators of the group modulo torsion |
j |
6885902000/35301903 |
j-invariant |
L |
10.874136105402 |
L(r)(E,1)/r! |
Ω |
0.9355831114206 |
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 |
63336n2 |
Quadratic twists by: -4 |