Atkin-Lehner |
2- 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886bh |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2287619764776342612 = 22 · 312 · 74 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-743124,235277505] |
[a1,a2,a3,a4,a6] |
Generators |
[-695:20759:1] |
Generators of the group modulo torsion |
j |
25618370387495257/1291301719092 |
j-invariant |
L |
8.4793637045708 |
L(r)(E,1)/r! |
Ω |
0.25588279537397 |
Real period |
R |
2.0711053770819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626a3 |
Quadratic twists by: -11 |