Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430l |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-175772835000 = -1 · 23 · 36 · 54 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-869,22376] |
[a1,a2,a3,a4,a6] |
Generators |
[18:103:1] |
Generators of the group modulo torsion |
j |
-72454344765769/175772835000 |
j-invariant |
L |
3.5042935001643 |
L(r)(E,1)/r! |
Ω |
0.89852405145755 |
Real period |
R |
0.65000921872557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290cf2 87150cc2 122010f2 |
Quadratic twists by: -3 5 -7 |