Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
32436d |
Isogeny class |
Conductor |
32436 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
781920 |
Modular degree for the optimal curve |
Δ |
48594836736 = 28 · 36 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 4 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26995368,53986104596] |
[a1,a2,a3,a4,a6] |
Generators |
[84525995:454918021:29791] |
Generators of the group modulo torsion |
j |
11657997957801459245056/260389 |
j-invariant |
L |
5.1395188988198 |
L(r)(E,1)/r! |
Ω |
0.40416008273394 |
Real period |
R |
12.716542574054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744z1 3604b1 |
Quadratic twists by: -4 -3 |