Atkin-Lehner |
3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87975bm |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
453120 |
Modular degree for the optimal curve |
Δ |
847509487239375 = 36 · 54 · 172 · 235 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 5 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-165530,25925122] |
[a1,a2,a3,a4,a6] |
Generators |
[214:410:1] |
Generators of the group modulo torsion |
j |
1100889810232425/1860103127 |
j-invariant |
L |
4.5775294500624 |
L(r)(E,1)/r! |
Ω |
0.5006811464717 |
Real period |
R |
0.15237673337707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9775e1 87975m1 |
Quadratic twists by: -3 5 |