Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10656n |
Isogeny class |
Conductor |
10656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-41430528 = -1 · 29 · 37 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 3 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,398] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
-125000/111 |
j-invariant |
L |
4.3525718032174 |
L(r)(E,1)/r! |
Ω |
1.8614479271448 |
Real period |
R |
0.5845680316577 |
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 |
10656m1 21312cd1 3552a1 |
Quadratic twists by: -4 8 -3 |