Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2130g |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-2300400 = -1 · 24 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59,182] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-22164361129/2300400 |
j-invariant |
L |
2.4427817159524 |
L(r)(E,1)/r! |
Ω |
2.5251698020368 |
Real period |
R |
0.24184331227766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17040k1 68160q1 6390s1 10650v1 |
Quadratic twists by: -4 8 -3 5 |