Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792p |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20521009152 = 214 · 34 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2248,41200] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:282:1] |
Generators of the group modulo torsion |
j |
306863943625/5010012 |
j-invariant |
L |
3.6096436293213 |
L(r)(E,1)/r! |
Ω |
1.2161561211982 |
Real period |
R |
1.4840379316452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974b2 63168cz2 47376bb2 110544di2 |
Quadratic twists by: -4 8 -3 -7 |