Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442t |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2456064 |
Modular degree for the optimal curve |
Δ |
-8899447899924611328 = -1 · 28 · 3 · 139 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 3 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44443,-143479984] |
[a1,a2,a3,a4,a6] |
Generators |
[330029861:323564920986:343] |
Generators of the group modulo torsion |
j |
915498611/839214336 |
j-invariant |
L |
5.3673013820178 |
L(r)(E,1)/r! |
Ω |
0.10790371926131 |
Real period |
R |
12.435394763872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442bm1 |
Quadratic twists by: 13 |