Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770bb |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6037290000 = 24 · 32 · 54 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-490,-1900] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:50:1] |
Generators of the group modulo torsion |
j |
13012697849761/6037290000 |
j-invariant |
L |
7.3537569755078 |
L(r)(E,1)/r! |
Ω |
1.0609992541396 |
Real period |
R |
0.86637160050027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62160bu2 23310i2 38850i2 54390bn2 |
Quadratic twists by: -4 -3 5 -7 |