Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390br |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-87076627328880 = -1 · 24 · 36 · 5 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11026,627983] |
[a1,a2,a3,a4,a6] |
j |
-3673650007/2157840 |
j-invariant |
L |
2.2438914546052 |
L(r)(E,1)/r! |
Ω |
0.56097286388319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54390df1 |
Quadratic twists by: -7 |