Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2040h |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-8262000 = -1 · 24 · 35 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220,1193] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:45:1] |
Generators of the group modulo torsion |
j |
-73934023936/516375 |
j-invariant |
L |
3.5209489416841 |
L(r)(E,1)/r! |
Ω |
2.3414024410174 |
Real period |
R |
0.050125925670346 |
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 |
4080f1 16320a1 6120u1 10200z1 |
Quadratic twists by: -4 8 -3 5 |