Atkin-Lehner |
3- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981t |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
2219383881 = 35 · 11 · 132 · 173 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159985,-24643369] |
[a1,a2,a3,a4,a6] |
j |
92174511082678361/451737 |
j-invariant |
L |
4.7743051663752 |
L(r)(E,1)/r! |
Ω |
0.23871519469045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123981b1 |
Quadratic twists by: 17 |