Atkin-Lehner |
3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3933b |
Isogeny class |
Conductor |
3933 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-7327179 = -1 · 36 · 19 · 232 |
Discriminant |
Eigenvalues |
-2 3- -1 -3 -5 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,130] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [-1:11:1] |
Generators of the group modulo torsion |
j |
-4096/10051 |
j-invariant |
L |
2.250720673831 |
L(r)(E,1)/r! |
Ω |
1.8907628332221 |
Real period |
R |
0.29759426120029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62928bo1 437b1 98325bj1 74727p1 |
Quadratic twists by: -4 -3 5 -19 |