Atkin-Lehner |
3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
103335c |
Isogeny class |
Conductor |
103335 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21490560 |
Modular degree for the optimal curve |
Δ |
5.4767652910412E+24 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 2 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-239013998,1417710067983] |
[a1,a2,a3,a4,a6] |
j |
4618757595675440881/16751572265625 |
j-invariant |
L |
0.076554180663549 |
L(r)(E,1)/r! |
Ω |
0.076553822037109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1245b1 |
Quadratic twists by: -83 |