Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2040q |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-1492323750000 = -1 · 24 · 35 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2840,81813] |
[a1,a2,a3,a4,a6] |
Generators |
[346:6375:1] |
Generators of the group modulo torsion |
j |
-158384129218816/93270234375 |
j-invariant |
L |
3.4254141290276 |
L(r)(E,1)/r! |
Ω |
0.78718172805606 |
Real period |
R |
0.020721385254703 |
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 |
4080j1 16320i1 6120f1 10200b1 |
Quadratic twists by: -4 8 -3 5 |