Atkin-Lehner |
3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4059c |
Isogeny class |
Conductor |
4059 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-8361457882371 = -1 · 38 · 11 · 415 |
Discriminant |
Eigenvalues |
-1 3- -3 -1 11+ -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,-139098] |
[a1,a2,a3,a4,a6] |
Generators |
[386:7371:1] |
Generators of the group modulo torsion |
j |
-169112377/11469763899 |
j-invariant |
L |
1.6225984291524 |
L(r)(E,1)/r! |
Ω |
0.3360541420159 |
Real period |
R |
0.48283839604501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64944bw1 1353a1 101475bj1 44649k1 |
Quadratic twists by: -4 -3 5 -11 |