Atkin-Lehner |
2+ 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442s |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
35900928 |
Modular degree for the optimal curve |
Δ |
1.3263124560653E+23 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 3 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127027333,-550785589768] |
[a1,a2,a3,a4,a6] |
Generators |
[13768:550055:1] |
Generators of the group modulo torsion |
j |
46962924452705609230609/27478038929349528 |
j-invariant |
L |
4.0074117543885 |
L(r)(E,1)/r! |
Ω |
0.044971825009584 |
Real period |
R |
1.8564455473415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034h1 |
Quadratic twists by: 13 |