Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648be |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-71803584 = -1 · 26 · 310 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -3 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,333] |
[a1,a2,a3,a4,a6] |
Generators |
[4:27:1] |
Generators of the group modulo torsion |
j |
841232384/1121931 |
j-invariant |
L |
3.700824795581 |
L(r)(E,1)/r! |
Ω |
1.3105835884045 |
Real period |
R |
0.28237991291241 |
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 |
3648f1 912f1 10944bt1 91200fi1 |
Quadratic twists by: -4 8 -3 5 |