Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87975q |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
2725740071459578125 = 313 · 56 · 17 · 235 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -2 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-380100,-42731969] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:6612:1] |
Generators of the group modulo torsion |
j |
533174986473472/239296796397 |
j-invariant |
L |
4.3909621985536 |
L(r)(E,1)/r! |
Ω |
0.20051374867176 |
Real period |
R |
1.0949279596831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29325i1 3519g1 |
Quadratic twists by: -3 5 |