Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384n |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7181950930944 = -1 · 212 · 3 · 23 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4208,-76160] |
[a1,a2,a3,a4,a6] |
Generators |
[27006:294470:343] |
Generators of the group modulo torsion |
j |
2011350448367/1753405989 |
j-invariant |
L |
6.5546133422115 |
L(r)(E,1)/r! |
Ω |
0.41019091865469 |
Real period |
R |
7.9897104540144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899d4 |
Quadratic twists by: -4 |