Atkin-Lehner |
2- 3- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458bd |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-68259434004913536 = -1 · 27 · 37 · 72 · 116 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74156,-14760529] |
[a1,a2,a3,a4,a6] |
Generators |
[621:-13667:1] |
Generators of the group modulo torsion |
j |
-61862801103428473/93634340198784 |
j-invariant |
L |
8.9846460267874 |
L(r)(E,1)/r! |
Ω |
0.13727991219544 |
Real period |
R |
1.1687078249896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24486h2 |
Quadratic twists by: -3 |