Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430d |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2859387414408000 = -1 · 26 · 32 · 53 · 78 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,30212,1604368] |
[a1,a2,a3,a4,a6] |
Generators |
[96:2276:1] |
Generators of the group modulo torsion |
j |
3049577531687792951/2859387414408000 |
j-invariant |
L |
2.7971800837136 |
L(r)(E,1)/r! |
Ω |
0.29635110147443 |
Real period |
R |
0.58992105769913 |
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 |
52290cl2 87150ck2 122010bb2 |
Quadratic twists by: -3 5 -7 |