Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10406c |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-1.2571980093784E+19 |
Discriminant |
Eigenvalues |
2+ -2 -3 4 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-505420,-219653238] |
[a1,a2,a3,a4,a6] |
j |
-550494387553/484704256 |
j-invariant |
L |
0.34540988395751 |
L(r)(E,1)/r! |
Ω |
0.086352470989377 |
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 |
83248bq1 93654bl1 10406k1 |
Quadratic twists by: -4 -3 -11 |