Atkin-Lehner |
2- 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566l |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
50099889941262 = 2 · 33 · 7 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40044,-3082113] |
[a1,a2,a3,a4,a6] |
Generators |
[-63032:45063:512] |
Generators of the group modulo torsion |
j |
7101281816103496897/50099889941262 |
j-invariant |
L |
5.6985096764744 |
L(r)(E,1)/r! |
Ω |
0.33763681878324 |
Real period |
R |
8.4388155548473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528be4 40698m4 94962cg4 |
Quadratic twists by: -4 -3 -7 |