Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450p |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13424640 |
Modular degree for the optimal curve |
Δ |
3957993128617187500 = 22 · 59 · 477 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 3 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-214163701,1206314312548] |
[a1,a2,a3,a4,a6] |
Generators |
[9302:133411:1] |
Generators of the group modulo torsion |
j |
51599335959989/188 |
j-invariant |
L |
4.1787594182814 |
L(r)(E,1)/r! |
Ω |
0.16543121691712 |
Real period |
R |
0.39468436900817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000274124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450bn1 2350e1 |
Quadratic twists by: 5 -47 |