Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770x |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
853603025329687500 = 22 · 316 · 58 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-356171,68656965] |
[a1,a2,a3,a4,a6] |
j |
4996886158282752257329/853603025329687500 |
j-invariant |
L |
4.2949888619172 |
L(r)(E,1)/r! |
Ω |
0.26843680386982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160bo3 23310u3 38850k3 54390cj3 |
Quadratic twists by: -4 -3 5 -7 |