Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442n |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2649953427831260928 = -1 · 28 · 36 · 1310 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,112043,-76969696] |
[a1,a2,a3,a4,a6] |
Generators |
[547:11894:1] [1363:50390:1] |
Generators of the group modulo torsion |
j |
32227258038767/549007310592 |
j-invariant |
L |
9.3868619432157 |
L(r)(E,1)/r! |
Ω |
0.12485529540587 |
Real period |
R |
6.2651607423511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034j1 |
Quadratic twists by: 13 |