Atkin-Lehner |
2+ 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530g |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
282522525051110400 = 210 · 314 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1205730,-508649324] |
[a1,a2,a3,a4,a6] |
j |
265917296537844648481/387548045337600 |
j-invariant |
L |
0.57634830990848 |
L(r)(E,1)/r! |
Ω |
0.14408707747712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510p2 97650dq2 |
Quadratic twists by: -3 5 |