Atkin-Lehner |
3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015b |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-1416434394375 = -1 · 35 · 54 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2217,-39888] |
[a1,a2,a3,a4,a6] |
j |
1204244503934471/1416434394375 |
j-invariant |
L |
0.91701446431976 |
L(r)(E,1)/r! |
Ω |
0.45850723215988 |
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 |
45045bh1 75075bn1 105105ch1 |
Quadratic twists by: -3 5 -7 |