Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bd |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
293774258960000000 = 210 · 57 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1718675,866846750] |
[a1,a2,a3,a4,a6] |
Generators |
[22379:3342192:1] |
Generators of the group modulo torsion |
j |
298261205316/156065 |
j-invariant |
L |
6.1651204799147 |
L(r)(E,1)/r! |
Ω |
0.30352034826986 |
Real period |
R |
5.0780124347528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480e4 18200m3 |
Quadratic twists by: 5 -7 |