Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21200a |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
339200 = 28 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 3 -2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[9:23:1] |
Generators of the group modulo torsion |
j |
138240/53 |
j-invariant |
L |
5.6634603372218 |
L(r)(E,1)/r! |
Ω |
2.33188576986 |
Real period |
R |
2.4287040173335 |
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 |
10600b1 84800bv1 21200c1 |
Quadratic twists by: -4 8 5 |