Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56180d |
Isogeny class |
Conductor |
56180 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-88657444516000000 = -1 · 28 · 56 · 536 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102060,-19011208] |
[a1,a2,a3,a4,a6] |
Generators |
[1009658:12219150:2197] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
10.674303222639 |
L(r)(E,1)/r! |
Ω |
0.12931925410072 |
Real period |
R |
4.5856809941355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20a3 |
Quadratic twists by: 53 |