Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184o |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-1524428066304 = -1 · 29 · 36 · 11 · 135 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2877,934] |
[a1,a2,a3,a4,a6] |
Generators |
[9:166:1] [17:234:1] |
Generators of the group modulo torsion |
j |
7055792632/4084223 |
j-invariant |
L |
7.6691141854319 |
L(r)(E,1)/r! |
Ω |
0.5073581486691 |
Real period |
R |
0.75578900285229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41184k1 82368dm1 4576e1 |
Quadratic twists by: -4 8 -3 |