Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640v |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
284643590400 = 28 · 36 · 52 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3476,73440] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:390:1] |
Generators of the group modulo torsion |
j |
18148802937424/1111889025 |
j-invariant |
L |
6.3454114829771 |
L(r)(E,1)/r! |
Ω |
0.95886209617118 |
Real period |
R |
0.55147063624642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59280d2 88920r2 |
Quadratic twists by: -4 -3 |