Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770bb |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
4972800 = 28 · 3 · 52 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-410,-3228] |
[a1,a2,a3,a4,a6] |
Generators |
[24:18:1] |
Generators of the group modulo torsion |
j |
7623273198241/4972800 |
j-invariant |
L |
7.3537569755078 |
L(r)(E,1)/r! |
Ω |
1.0609992541396 |
Real period |
R |
1.7327432010005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160bu1 23310i1 38850i1 54390bn1 |
Quadratic twists by: -4 -3 5 -7 |