Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792l |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
20200368384 = 28 · 36 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11844,492156] |
[a1,a2,a3,a4,a6] |
Generators |
[15:564:1] |
Generators of the group modulo torsion |
j |
717820092230992/78907689 |
j-invariant |
L |
5.0770500496222 |
L(r)(E,1)/r! |
Ω |
1.167074906803 |
Real period |
R |
1.4500783168894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7896e2 63168cn2 47376t2 110544q2 |
Quadratic twists by: -4 8 -3 -7 |