Atkin-Lehner |
2+ 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430r |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-64867662735750 = -1 · 2 · 33 · 53 · 75 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,622,387506] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:397:1] |
Generators of the group modulo torsion |
j |
26674615918439/64867662735750 |
j-invariant |
L |
4.8403763266185 |
L(r)(E,1)/r! |
Ω |
0.48674647262792 |
Real period |
R |
0.66295653539244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52290cb1 87150bv1 122010a1 |
Quadratic twists by: -3 5 -7 |