Atkin-Lehner |
2- 3- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610bb |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
648809836704000 = 28 · 38 · 53 · 174 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21677,-78699] |
[a1,a2,a3,a4,a6] |
Generators |
[161:684:1] |
Generators of the group modulo torsion |
j |
1545165254811529/889999776000 |
j-invariant |
L |
10.474139797111 |
L(r)(E,1)/r! |
Ω |
0.42841989944704 |
Real period |
R |
0.50933965965421 |
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 |
18870a1 |
Quadratic twists by: -3 |