Atkin-Lehner |
2- 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720t |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17768524800 = 210 · 3 · 52 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1760,-27108] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:20:1] [-23:26:1] |
Generators of the group modulo torsion |
j |
589126412164/17352075 |
j-invariant |
L |
8.8187286830818 |
L(r)(E,1)/r! |
Ω |
0.73838531535482 |
Real period |
R |
2.9858152984981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440bb2 |
Quadratic twists by: -4 |