Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870b |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
249615000 = 23 · 33 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195,-675] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
30459021867/9245000 |
j-invariant |
L |
2.3827107575093 |
L(r)(E,1)/r! |
Ω |
1.3073758646398 |
Real period |
R |
0.91125697741319 |
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 |
30960u2 123840y2 3870o2 19350bs2 |
Quadratic twists by: -4 8 -3 5 |