Atkin-Lehner |
2- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
69350g |
Isogeny class |
Conductor |
69350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
12656375000 = 23 · 56 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20305,1118697] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-4:1] |
Generators of the group modulo torsion |
j |
59250581321625/810008 |
j-invariant |
L |
8.3961079935496 |
L(r)(E,1)/r! |
Ω |
1.1526332468146 |
Real period |
R |
2.4280946888207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2774a2 |
Quadratic twists by: 5 |