Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bn |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1190400000000 = 215 · 3 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4801,-115199] |
[a1,a2,a3,a4,a6] |
j |
373559126408/36328125 |
j-invariant |
L |
2.308476125186 |
L(r)(E,1)/r! |
Ω |
0.57711903129636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cl4 14880o2 89280fb4 |
Quadratic twists by: -4 8 -3 |