Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190x |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
943093476079720 = 23 · 5 · 77 · 315 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-252320356,1542661451176] |
[a1,a2,a3,a4,a6] |
Generators |
[73350:-33833:8] |
Generators of the group modulo torsion |
j |
15100535141642459644213681/8016162280 |
j-invariant |
L |
7.7882632797207 |
L(r)(E,1)/r! |
Ω |
0.21204559569688 |
Real period |
R |
3.0607659538682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520bx2 75950n2 2170q2 |
Quadratic twists by: -4 5 -7 |