Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960z |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-6.4777096539377E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2139200,-3679561900] |
[a1,a2,a3,a4,a6] |
j |
528625034574051945598/3162944166961775175 |
j-invariant |
L |
4.2798519651702 |
L(r)(E,1)/r! |
Ω |
0.066872686864807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480t5 |
Quadratic twists by: -4 |