Atkin-Lehner |
2- 3- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610bb |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
104519147728500 = 22 · 38 · 53 · 17 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3672257,2709535389] |
[a1,a2,a3,a4,a6] |
Generators |
[1107:-534:1] |
Generators of the group modulo torsion |
j |
7512686649078264798409/143373316500 |
j-invariant |
L |
10.474139797111 |
L(r)(E,1)/r! |
Ω |
0.42841989944704 |
Real period |
R |
2.0373586386168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870a3 |
Quadratic twists by: -3 |