Atkin-Lehner |
2+ 3+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130g |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
154580552268996960 = 25 · 38 · 5 · 31 · 416 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-142757,8495661] |
[a1,a2,a3,a4,a6] |
Generators |
[15:2514:1] |
Generators of the group modulo torsion |
j |
321751591632957521881/154580552268996960 |
j-invariant |
L |
3.5006776775598 |
L(r)(E,1)/r! |
Ω |
0.28893879951703 |
Real period |
R |
1.0096364361046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390x2 |
Quadratic twists by: -3 |