Atkin-Lehner |
2- 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41412j |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
577578862456848 = 24 · 321 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20858,79257] |
[a1,a2,a3,a4,a6] |
j |
62725270108000000/36098678903553 |
j-invariant |
L |
3.085765207606 |
L(r)(E,1)/r! |
Ω |
0.44082360108268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124236x1 |
Quadratic twists by: -3 |