Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950db |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
783629437500000000 = 28 · 39 · 512 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11993105,15989152897] |
[a1,a2,a3,a4,a6] |
Generators |
[2159:-13580:1] |
Generators of the group modulo torsion |
j |
620307836233921107/2548000000 |
j-invariant |
L |
8.4309752554284 |
L(r)(E,1)/r! |
Ω |
0.24933226721504 |
Real period |
R |
1.0566942645452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40950f2 8190f2 |
Quadratic twists by: -3 5 |