Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200bg |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
189612900000000 = 28 · 38 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57508,5247488] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2550:1] |
Generators of the group modulo torsion |
j |
5258429611216/47403225 |
j-invariant |
L |
5.5101571640205 |
L(r)(E,1)/r! |
Ω |
0.56996998293727 |
Real period |
R |
0.6042157184779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20400a2 81600a2 30600t2 2040c2 |
Quadratic twists by: -4 8 -3 5 |