Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544m |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-8.3960437195164E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-922784,557770263] |
[a1,a2,a3,a4,a6] |
j |
-19227550789888/18576945567 |
j-invariant |
L |
0.35002524366069 |
L(r)(E,1)/r! |
Ω |
0.17501262543713 |
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 |
55272j1 110544bb1 |
Quadratic twists by: -4 -7 |