Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150g |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
1076414062500 = 22 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2742,24416] |
[a1,a2,a3,a4,a6] |
j |
59319/28 |
j-invariant |
L |
1.5580975635849 |
L(r)(E,1)/r! |
Ω |
0.77904878179245 |
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 |
25200dp1 100800cd1 3150bb1 3150be1 |
Quadratic twists by: -4 8 -3 5 |