Atkin-Lehner |
3- 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725cj |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
-13069276171875 = -1 · 33 · 58 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4333,204244] |
[a1,a2,a3,a4,a6] |
j |
-23037214720/33457347 |
j-invariant |
L |
3.8258286521672 |
L(r)(E,1)/r! |
Ω |
0.6376381210048 |
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 |
109725j1 |
Quadratic twists by: 5 |