Atkin-Lehner |
3+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975c |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7813228413195703125 = 39 · 58 · 174 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43780880,-111488966378] |
[a1,a2,a3,a4,a6] |
Generators |
[717405722:184920357565:10648] |
Generators of the group modulo torsion |
j |
30176289975469345443/25405000175 |
j-invariant |
L |
3.507688585967 |
L(r)(E,1)/r! |
Ω |
0.058691938760037 |
Real period |
R |
14.941100320825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87975k2 17595d2 |
Quadratic twists by: -3 5 |