Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29904d |
Isogeny class |
Conductor |
29904 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2782631708430336 = 212 · 36 · 76 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52032,-3815820] |
[a1,a2,a3,a4,a6] |
Generators |
[276:1710:1] |
Generators of the group modulo torsion |
j |
3803502180324673/679353444441 |
j-invariant |
L |
7.3742029731701 |
L(r)(E,1)/r! |
Ω |
0.31998114048455 |
Real period |
R |
3.8409570857849 |
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 |
1869b2 119616r2 89712x2 |
Quadratic twists by: -4 8 -3 |