Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130x |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
206807968800000 = 28 · 38 · 55 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174933281,-890561436855] |
[a1,a2,a3,a4,a6] |
Generators |
[15316:144145:1] |
Generators of the group modulo torsion |
j |
592026350891807770584206241169/206807968800000 |
j-invariant |
L |
10.343978484375 |
L(r)(E,1)/r! |
Ω |
0.041512744283131 |
Real period |
R |
7.7867491831431 |
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 |
114390o2 |
Quadratic twists by: -3 |