Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bt |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
87645190198608 = 24 · 316 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 3 -1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11237,-81948] |
[a1,a2,a3,a4,a6] |
j |
4085087469568/2281476213 |
j-invariant |
L |
2.9872763895248 |
L(r)(E,1)/r! |
Ω |
0.49787972036017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31164i1 124656do1 |
Quadratic twists by: -4 -7 |