Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290ch |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
Δ |
2184548880384000000 = 218 · 38 · 56 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-591242,160029641] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:14407:1] [-6018:109943:8] |
Generators of the group modulo torsion |
j |
31353882568652276569/2996637696000000 |
j-invariant |
L |
12.436570307126 |
L(r)(E,1)/r! |
Ω |
0.25308396322973 |
Real period |
R |
1.3650026730278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14430u3 |
Quadratic twists by: -3 |