Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20460h |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-8562510000 = -1 · 24 · 34 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,4464] |
[a1,a2,a3,a4,a6] |
Generators |
[9:75:1] |
Generators of the group modulo torsion |
j |
399589376/535156875 |
j-invariant |
L |
5.3922454747701 |
L(r)(E,1)/r! |
Ω |
1.0219431059315 |
Real period |
R |
0.43970528981118 |
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 |
81840bu1 61380u1 102300a1 |
Quadratic twists by: -4 -3 5 |