Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
2120a |
Isogeny class |
Conductor |
2120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1356800 = -1 · 210 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 0 1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-100] |
[a1,a2,a3,a4,a6] |
Generators |
[10:20:1] |
Generators of the group modulo torsion |
j |
-7086244/1325 |
j-invariant |
L |
2.829523277604 |
L(r)(E,1)/r! |
Ω |
0.93771942985974 |
Real period |
R |
0.75436297561501 |
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 |
4240a1 16960b1 19080i1 10600c1 |
Quadratic twists by: -4 8 -3 5 |