Atkin-Lehner |
2- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47974g |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-3340525568 = -1 · 213 · 173 · 83 |
Discriminant |
Eigenvalues |
2- -1 -2 2 -5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1179,15337] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-154:1] |
Generators of the group modulo torsion |
j |
-36892780289/679936 |
j-invariant |
L |
5.6385136690188 |
L(r)(E,1)/r! |
Ω |
1.4138116814285 |
Real period |
R |
0.15339094534001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47974f1 |
Quadratic twists by: 17 |