Atkin-Lehner |
3- 7+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87381c |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
530432 |
Modular degree for the optimal curve |
Δ |
4502474236658097 = 320 · 72 · 192 · 73 |
Discriminant |
Eigenvalues |
1 3- 0 7+ -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-235557,-43826576] |
[a1,a2,a3,a4,a6] |
Generators |
[-97300:160826:343] |
Generators of the group modulo torsion |
j |
1982829011986572625/6176233520793 |
j-invariant |
L |
5.4396184472927 |
L(r)(E,1)/r! |
Ω |
0.21674884459088 |
Real period |
R |
6.2741031600502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29127b1 |
Quadratic twists by: -3 |