Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400a |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
327155079600000000 = 210 · 316 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308008,59866012] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:27500:1] |
Generators of the group modulo torsion |
j |
201971983086724/20447192475 |
j-invariant |
L |
4.1610908261924 |
L(r)(E,1)/r! |
Ω |
0.29598682762276 |
Real period |
R |
3.5145912232078 |
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 |
22800bc3 91200do3 34200ci3 2280i4 |
Quadratic twists by: -4 8 -3 5 |