Atkin-Lehner |
2- 3+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030q |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
30800 |
Modular degree for the optimal curve |
Δ |
-53782505043750 = -1 · 2 · 35 · 55 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1110,352665] |
[a1,a2,a3,a4,a6] |
j |
-151257563987041/53782505043750 |
j-invariant |
L |
2.5590284155403 |
L(r)(E,1)/r! |
Ω |
0.51180568310805 |
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 |
72240db1 27090k1 45150bc1 63210ck1 |
Quadratic twists by: -4 -3 5 -7 |