Atkin-Lehner |
2+ 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030l |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
6608 |
Modular degree for the optimal curve |
Δ |
-6582870 = -1 · 2 · 37 · 5 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1208,-16252] |
[a1,a2,a3,a4,a6] |
j |
-194718676594681/6582870 |
j-invariant |
L |
2.8346083364053 |
L(r)(E,1)/r! |
Ω |
0.4049440480579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72240cg1 27090bh1 45150cg1 63210d1 |
Quadratic twists by: -4 -3 5 -7 |