Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268u |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1380470910725023488 = 28 · 314 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-457023,-104625290] |
[a1,a2,a3,a4,a6] |
Generators |
[640570:45437112:125] |
Generators of the group modulo torsion |
j |
480819584464/62874063 |
j-invariant |
L |
9.0442355857504 |
L(r)(E,1)/r! |
Ω |
0.18520205032237 |
Real period |
R |
6.1043030907588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756r2 9324j2 |
Quadratic twists by: -3 -7 |