Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19740m |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
890668800 = 28 · 32 · 52 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-980,-11400] |
[a1,a2,a3,a4,a6] |
Generators |
[545:12690:1] |
Generators of the group modulo torsion |
j |
407009977936/3479175 |
j-invariant |
L |
5.2135579328319 |
L(r)(E,1)/r! |
Ω |
0.85365044643042 |
Real period |
R |
3.0536843005429 |
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 |
78960cz2 59220m2 98700z2 |
Quadratic twists by: -4 -3 5 |