Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20172j |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
12398400 |
Modular degree for the optimal curve |
Δ |
1.7319772656354E+27 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -1 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309432316,-616603607788] |
[a1,a2,a3,a4,a6] |
j |
1602912804305104/847288609443 |
j-invariant |
L |
3.820361699965 |
L(r)(E,1)/r! |
Ω |
0.03820361699965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688v1 60516q1 20172e1 |
Quadratic twists by: -4 -3 41 |