Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080by |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
27221116608000 = 29 · 311 · 53 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2916147,-1916735686] |
[a1,a2,a3,a4,a6] |
j |
7347751505995469192/72930375 |
j-invariant |
L |
1.3863677521786 |
L(r)(E,1)/r! |
Ω |
0.11553064601488 |
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 |
10080bb3 20160bc3 3360b3 50400bq4 |
Quadratic twists by: -4 8 -3 5 |