Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600dh |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2951578112000 = -1 · 212 · 53 · 78 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163137088,-801950801728] |
[a1,a2,a3,a4,a6] |
Generators |
[2129325242:335148249310:68921] |
Generators of the group modulo torsion |
j |
-162677523113838677 |
j-invariant |
L |
3.5198572808209 |
L(r)(E,1)/r! |
Ω |
0.021121822192267 |
Real period |
R |
13.887127606623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1225f2 78400jm2 19600dg2 19600dr2 |
Quadratic twists by: -4 8 5 -7 |