Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330q |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-4.5837298828125E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1782719,471587903] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:18504:1] |
Generators of the group modulo torsion |
j |
626574009730804205342831/458372988281250000000 |
j-invariant |
L |
5.8016010082786 |
L(r)(E,1)/r! |
Ω |
0.10615366366205 |
Real period |
R |
3.903775505471 |
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 |
122640cn3 45990z3 76650bg3 107310dg3 |
Quadratic twists by: -4 -3 5 -7 |