Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9030r |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-10457709314062500 = -1 · 22 · 33 · 58 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6495,4921545] |
[a1,a2,a3,a4,a6] |
j |
-30301585803604081/10457709314062500 |
j-invariant |
L |
2.6397238205361 |
L(r)(E,1)/r! |
Ω |
0.32996547756702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72240cy3 27090m3 45150ba3 63210cg3 |
Quadratic twists by: -4 -3 5 -7 |