Atkin-Lehner |
3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8487g |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
52449144898509 = 39 · 23 · 415 |
Discriminant |
Eigenvalues |
0 3- 1 1 -4 0 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-471342,-124551977] |
[a1,a2,a3,a4,a6] |
Generators |
[-135947:7393:343] |
Generators of the group modulo torsion |
j |
15885635914127540224/71946700821 |
j-invariant |
L |
3.645950393328 |
L(r)(E,1)/r! |
Ω |
0.18220724334158 |
Real period |
R |
2.0009909191661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829b1 |
Quadratic twists by: -3 |