Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830o |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-84358968750 = -1 · 2 · 36 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1543,27056] |
[a1,a2,a3,a4,a6] |
j |
-405897921250921/84358968750 |
j-invariant |
L |
2.066293536846 |
L(r)(E,1)/r! |
Ω |
1.033146768423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38640bx2 14490bq2 24150bp2 33810c2 |
Quadratic twists by: -4 -3 5 -7 |