Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328f |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3440526336 = 210 · 32 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-632,5220] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1260:1] |
Generators of the group modulo torsion |
j |
27306245092/3359889 |
j-invariant |
L |
8.758174713401 |
L(r)(E,1)/r! |
Ω |
1.3599488222111 |
Real period |
R |
3.220038346429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14664e2 117312ck2 87984h2 |
Quadratic twists by: -4 8 -3 |