Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960cd |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42752102400000000 = 218 · 33 · 58 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1022400,-397440000] |
[a1,a2,a3,a4,a6] |
j |
28855374247604721601/10437525000000 |
j-invariant |
L |
2.4022806014956 |
L(r)(E,1)/r! |
Ω |
0.15014253243372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870u2 |
Quadratic twists by: -4 |