Atkin-Lehner |
2- 3- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
112140l |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
748052107362000 = 24 · 36 · 53 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26172,961389] |
[a1,a2,a3,a4,a6] |
j |
169975738220544/64133411125 |
j-invariant |
L |
2.7707889742262 |
L(r)(E,1)/r! |
Ω |
0.46179827048316 |
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 |
12460a1 |
Quadratic twists by: -3 |