Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800ba |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1454276096000 = 212 · 53 · 75 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -2 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-448273,-115670817] |
[a1,a2,a3,a4,a6] |
Generators |
[50372:283985:64] |
Generators of the group modulo torsion |
j |
19457295057825344/2840383 |
j-invariant |
L |
2.8611657033039 |
L(r)(E,1)/r! |
Ω |
0.18450741841504 |
Real period |
R |
7.7535248414619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800cg2 72800ca2 |
Quadratic twists by: -4 5 |