Atkin-Lehner |
2- 3+ 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526s |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
1364544 |
Modular degree for the optimal curve |
Δ |
-20228813862469632 = -1 · 223 · 33 · 73 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -5 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-270989,-54658635] |
[a1,a2,a3,a4,a6] |
j |
-81510476595621158259/749215328239616 |
j-invariant |
L |
4.8100698466681 |
L(r)(E,1)/r! |
Ω |
0.10456675655377 |
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 |
113526b1 |
Quadratic twists by: -3 |