Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ft |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
30227243964825600 = 220 · 34 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-135745,-17292575] |
[a1,a2,a3,a4,a6] |
j |
1055257664218129/115307784900 |
j-invariant |
L |
3.0058495027076 |
L(r)(E,1)/r! |
Ω |
0.25048746007536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920dj2 18480ct2 |
Quadratic twists by: -4 8 |