Atkin-Lehner |
2+ 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530j |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4766782954607100 = 22 · 322 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7292430,-7577955000] |
[a1,a2,a3,a4,a6] |
j |
58831920326276935699681/6538796919900 |
j-invariant |
L |
0.73497315129939 |
L(r)(E,1)/r! |
Ω |
0.091871643912424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510z4 97650dy4 |
Quadratic twists by: -3 5 |