Atkin-Lehner |
3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015b |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
122159491489035 = 320 · 5 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-188083,-31469858] |
[a1,a2,a3,a4,a6] |
j |
735827390583361804729/122159491489035 |
j-invariant |
L |
0.91701446431976 |
L(r)(E,1)/r! |
Ω |
0.22925361607994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45045bh4 75075bn4 105105ch4 |
Quadratic twists by: -3 5 -7 |