Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480r |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-10744876800 = -1 · 28 · 36 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140,4900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:70:1] |
Generators of the group modulo torsion |
j |
1176960944/41972175 |
j-invariant |
L |
5.0613225369921 |
L(r)(E,1)/r! |
Ω |
0.96784539040246 |
Real period |
R |
0.65368427994561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960bd1 118440s1 |
Quadratic twists by: -4 -3 |