Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810r |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
173548701562500 = 22 · 312 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24818,-1358643] |
[a1,a2,a3,a4,a6] |
Generators |
[-435795:2046529:4913] |
Generators of the group modulo torsion |
j |
2318889846161881/238064062500 |
j-invariant |
L |
7.6774161213284 |
L(r)(E,1)/r! |
Ω |
0.38289303934646 |
Real period |
R |
10.025536288715 |
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 |
6270d1 94050o1 |
Quadratic twists by: -3 5 |