Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176br |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-680464237625081856 = -1 · 225 · 39 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-340524,86168016] |
[a1,a2,a3,a4,a6] |
Generators |
[970:25856:1] |
Generators of the group modulo torsion |
j |
-846322089579/131878528 |
j-invariant |
L |
3.8964039944868 |
L(r)(E,1)/r! |
Ω |
0.27671087303447 |
Real period |
R |
0.58671408410666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176f2 14544l2 58176bo1 |
Quadratic twists by: -4 8 -3 |