Atkin-Lehner |
2+ 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670n |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-124020 = -1 · 22 · 32 · 5 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 3 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
30080231/124020 |
j-invariant |
L |
4.3946185303614 |
L(r)(E,1)/r! |
Ω |
2.3594197646497 |
Real period |
R |
0.46564610886587 |
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 |
62010ch1 103350be1 |
Quadratic twists by: -3 5 |