Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736m |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-6796544314307328 = -1 · 28 · 33 · 710 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38889,-2649446] |
[a1,a2,a3,a4,a6] |
Generators |
[2703:-40474:27] [87:1180:1] |
Generators of the group modulo torsion |
j |
941023155029904/983296341769 |
j-invariant |
L |
7.6060204313021 |
L(r)(E,1)/r! |
Ω |
0.22819946564102 |
Real period |
R |
0.8332644874887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472b2 29736c2 |
Quadratic twists by: -4 -3 |