Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162o |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1717969194436755456 = -1 · 215 · 32 · 73 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -6 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-280505,-85149988] |
[a1,a2,a3,a4,a6] |
Generators |
[752:10995:1] |
Generators of the group modulo torsion |
j |
-143719103593/101154816 |
j-invariant |
L |
3.2026092958074 |
L(r)(E,1)/r! |
Ω |
0.10060026507938 |
Real period |
R |
1.7686110321436 |
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 |
121296bv2 45486bm2 106134g2 15162x2 |
Quadratic twists by: -4 -3 -7 -19 |