Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285p |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19188149168477025 = 34 · 52 · 112 · 238 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-128294,16372667] |
[a1,a2,a3,a4,a6] |
Generators |
[-57267:2003182:343] |
Generators of the group modulo torsion |
j |
1577505447721/129618225 |
j-invariant |
L |
10.877224230693 |
L(r)(E,1)/r! |
Ω |
0.37703150488158 |
Real period |
R |
7.2124106891451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006328 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3795k2 |
Quadratic twists by: -23 |