Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bk |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
166224960000000 = 212 · 34 · 57 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52938,-4668969] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:267:1] |
Generators of the group modulo torsion |
j |
1050042283317721/10638397440 |
j-invariant |
L |
7.8938280566212 |
L(r)(E,1)/r! |
Ω |
0.31493674878543 |
Real period |
R |
1.0443668557898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490m1 |
Quadratic twists by: 5 |