Atkin-Lehner |
2- 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650ci |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
278250000 = 24 · 3 · 56 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-613,5531] |
[a1,a2,a3,a4,a6] |
j |
1630532233/17808 |
j-invariant |
L |
3.489022131674 |
L(r)(E,1)/r! |
Ω |
1.7445110647957 |
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 |
2226e1 |
Quadratic twists by: 5 |