Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740r |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-535694478191873280 = -1 · 28 · 36 · 5 · 76 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6819156,-6856363260] |
[a1,a2,a3,a4,a6] |
j |
-136985843380845963083344/2092556555437005 |
j-invariant |
L |
2.5224946803624 |
L(r)(E,1)/r! |
Ω |
0.046712864451155 |
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 |
78960bm2 59220bd2 98700i2 |
Quadratic twists by: -4 -3 5 |