Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430q |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-13235906250 = -1 · 2 · 36 · 56 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,172,-5452] |
[a1,a2,a3,a4,a6] |
j |
567457901639/13235906250 |
j-invariant |
L |
2.4413038986944 |
L(r)(E,1)/r! |
Ω |
0.61032597467361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52290ce1 87150ca1 122010e1 |
Quadratic twists by: -3 5 -7 |