Atkin-Lehner |
2- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18544h |
Isogeny class |
Conductor |
18544 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-131459725058048 = -1 · 213 · 19 · 615 |
Discriminant |
Eigenvalues |
2- 1 -4 2 3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1312240,578149204] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:29768:1] |
Generators of the group modulo torsion |
j |
-61010405398305333361/32094659438 |
j-invariant |
L |
4.6448342014244 |
L(r)(E,1)/r! |
Ω |
0.47965817159035 |
Real period |
R |
0.48418170235941 |
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 |
2318e2 74176q2 |
Quadratic twists by: -4 8 |