Atkin-Lehner |
2- 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20910m |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
3021495000000 = 26 · 3 · 57 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3826,35780] |
[a1,a2,a3,a4,a6] |
j |
6193921595708449/3021495000000 |
j-invariant |
L |
4.2703729174822 |
L(r)(E,1)/r! |
Ω |
0.71172881958036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730p1 104550i1 |
Quadratic twists by: -3 5 |