Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584a |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-131755389696 = -1 · 28 · 33 · 72 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 0 6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44532,-3617108] |
[a1,a2,a3,a4,a6] |
Generators |
[9678338:23196201:39304] |
Generators of the group modulo torsion |
j |
-1412981851788288/19061833 |
j-invariant |
L |
7.518652879199 |
L(r)(E,1)/r! |
Ω |
0.16432406029039 |
Real period |
R |
11.438758370002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36792g1 73584b1 |
Quadratic twists by: -4 -3 |