Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200h |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
339671260820000000 = 28 · 57 · 198 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183508,-11306988] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:4332:1] [657:12300:1] |
Generators of the group modulo torsion |
j |
3631696/1805 |
j-invariant |
L |
12.618945578758 |
L(r)(E,1)/r! |
Ω |
0.24280461036804 |
Real period |
R |
6.496450767367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440m2 3800e2 |
Quadratic twists by: 5 -19 |