Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bh |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-16714630692864 = -1 · 221 · 36 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -4 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6189,-59758] |
[a1,a2,a3,a4,a6] |
Generators |
[3171:40832:27] |
Generators of the group modulo torsion |
j |
8780064047/5597696 |
j-invariant |
L |
8.529014029415 |
L(r)(E,1)/r! |
Ω |
0.39828039918876 |
Real period |
R |
2.676824558404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6786c1 6032d1 |
Quadratic twists by: -4 -3 |