Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714g |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
1.0330526987651E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29067102,58309856788] |
[a1,a2,a3,a4,a6] |
Generators |
[4044212:1011008003:64] |
Generators of the group modulo torsion |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
3.202357197422 |
L(r)(E,1)/r! |
Ω |
0.10526023636024 |
Real period |
R |
7.6058094398555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238i1 3978i1 |
Quadratic twists by: -3 13 |