Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73944x |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
143494716029184 = 28 · 312 · 132 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14511,-347150] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:234:1] [-31:270:1] |
Generators of the group modulo torsion |
j |
1810707268048/768897441 |
j-invariant |
L |
8.0233113775296 |
L(r)(E,1)/r! |
Ω |
0.45188317432746 |
Real period |
R |
4.4388194966574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998317 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24648h2 |
Quadratic twists by: -3 |