Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346a |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1232726222 = -1 · 2 · 76 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ -3 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20336,-1117868] |
[a1,a2,a3,a4,a6] |
Generators |
[136440:865259:729] |
Generators of the group modulo torsion |
j |
-5503043016108625/7294238 |
j-invariant |
L |
3.9944556009465 |
L(r)(E,1)/r! |
Ω |
0.19989673445262 |
Real period |
R |
9.9912977886984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73346s2 |
Quadratic twists by: 13 |