Atkin-Lehner |
3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4107a |
Isogeny class |
Conductor |
4107 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-1367631 = -1 · 33 · 373 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[19:74:1] |
Generators of the group modulo torsion |
j |
1331/27 |
j-invariant |
L |
4.6092245243846 |
L(r)(E,1)/r! |
Ω |
1.314761369301 |
Real period |
R |
2.3371665926139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65712v1 12321h1 102675j1 4107b1 |
Quadratic twists by: -4 -3 5 37 |