Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792t |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
760037376 = 214 · 3 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7152,235200] |
[a1,a2,a3,a4,a6] |
Generators |
[2:470:1] |
Generators of the group modulo torsion |
j |
9878863930993/185556 |
j-invariant |
L |
4.5324760190743 |
L(r)(E,1)/r! |
Ω |
1.4699119871972 |
Real period |
R |
1.5417508186041 |
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 |
1974k2 63168dk2 47376bz2 110544eg2 |
Quadratic twists by: -4 8 -3 -7 |