Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18620b |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-291961600 = -1 · 28 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -5 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,1735] |
[a1,a2,a3,a4,a6] |
Generators |
[-23826:41909:1331] [-3:50:1] |
Generators of the group modulo torsion |
j |
-3211264/475 |
j-invariant |
L |
4.9415780832934 |
L(r)(E,1)/r! |
Ω |
1.6720109796727 |
Real period |
R |
0.1641927709065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480y1 93100a1 18620p1 |
Quadratic twists by: -4 5 -7 |