Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47396f |
Isogeny class |
Conductor |
47396 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
189584 = 24 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 2 -3 4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62,209] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
5792512/41 |
j-invariant |
L |
7.8784474082963 |
L(r)(E,1)/r! |
Ω |
3.2067198069536 |
Real period |
R |
0.81895185553964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47396i1 |
Quadratic twists by: 17 |