Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550bh |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-10536328125000 = -1 · 23 · 36 · 511 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5062,-71508] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1804:1] |
Generators of the group modulo torsion |
j |
918046641959/674325000 |
j-invariant |
L |
6.1968448118678 |
L(r)(E,1)/r! |
Ω |
0.4047623793708 |
Real period |
R |
0.21263658244996 |
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 |
44400z1 16650m1 1110d1 |
Quadratic twists by: -4 -3 5 |