Atkin-Lehner |
2- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3904i |
Isogeny class |
Conductor |
3904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-255852544 = -1 · 222 · 61 |
Discriminant |
Eigenvalues |
2- -2 -1 5 -3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,31] |
[a1,a2,a3,a4,a6] |
Generators |
[23:128:1] |
Generators of the group modulo torsion |
j |
1685159/976 |
j-invariant |
L |
2.7262016548088 |
L(r)(E,1)/r! |
Ω |
1.0408203597338 |
Real period |
R |
0.65482040904397 |
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 |
3904b1 976a1 35136ck1 97600ch1 |
Quadratic twists by: -4 8 -3 5 |