Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346y |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
-7996367232 = -1 · 27 · 32 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -3 1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-246,-4572] |
[a1,a2,a3,a4,a6] |
j |
-13997521/67968 |
j-invariant |
L |
7.6290139279572 |
L(r)(E,1)/r! |
Ω |
0.54492956628266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52038w1 354f1 |
Quadratic twists by: -3 -7 |