Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
3392t |
Isogeny class |
Conductor |
3392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-13893632 = -1 · 218 · 53 |
Discriminant |
Eigenvalues |
2- -3 0 4 0 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-176] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
2.4392884039447 |
L(r)(E,1)/r! |
Ω |
1.0893621098872 |
Real period |
R |
0.5597974222266 |
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 |
3392k1 848e1 30528bj1 84800bt1 |
Quadratic twists by: -4 8 -3 5 |