Atkin-Lehner |
3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015b |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72479767385025 = 310 · 52 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12908,-393813] |
[a1,a2,a3,a4,a6] |
j |
237877383098883529/72479767385025 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
45045bh2 75075bn2 105105ch2 |
Quadratic twists by: -3 5 -7 |