Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ff |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7881473981939712 = 224 · 3 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252513,-48568575] |
[a1,a2,a3,a4,a6] |
Generators |
[201384365:3474322944:274625] |
Generators of the group modulo torsion |
j |
57736239625/255552 |
j-invariant |
L |
5.1809162545745 |
L(r)(E,1)/r! |
Ω |
0.21303165280843 |
Real period |
R |
12.159968207526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ds3 25872cw3 2112x3 |
Quadratic twists by: -4 8 -7 |