Atkin-Lehner |
2- 3- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21090l |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
895635947520 = 220 · 35 · 5 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18136,-940480] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:56:1] |
Generators of the group modulo torsion |
j |
659704930833045889/895635947520 |
j-invariant |
L |
9.166378669565 |
L(r)(E,1)/r! |
Ω |
0.41143332011618 |
Real period |
R |
0.89116541819963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63270o1 105450g1 |
Quadratic twists by: -3 5 |