Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350bs |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3900234375000 = 23 · 33 · 510 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4880,-89253] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:141:1] |
Generators of the group modulo torsion |
j |
30459021867/9245000 |
j-invariant |
L |
8.6538551854594 |
L(r)(E,1)/r! |
Ω |
0.58467626109544 |
Real period |
R |
1.2334254813718 |
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 |
19350e2 3870b2 |
Quadratic twists by: -3 5 |