Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1470f |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-1050634982250 = -1 · 2 · 36 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1594,54926] |
[a1,a2,a3,a4,a6] |
j |
-77626969/182250 |
j-invariant |
L |
1.5498249999025 |
L(r)(E,1)/r! |
Ω |
0.77491249995126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11760bl1 47040y1 4410bi1 7350bq1 |
Quadratic twists by: -4 8 -3 5 |