Atkin-Lehner |
3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87975bf |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
1590317201953125 = 39 · 58 · 17 · 233 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -2 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-62175,-5650344] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:310:1] [-145:562:1] |
Generators of the group modulo torsion |
j |
2333584543744/139616325 |
j-invariant |
L |
5.3671365555529 |
L(r)(E,1)/r! |
Ω |
0.30347104682989 |
Real period |
R |
0.73690947505969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29325o1 17595q1 |
Quadratic twists by: -3 5 |