Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1984j |
Isogeny class |
Conductor |
1984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-130023424 = -1 · 222 · 31 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1120:1] |
Generators of the group modulo torsion |
j |
-35937/496 |
j-invariant |
L |
3.1976448954871 |
L(r)(E,1)/r! |
Ω |
0.79164434270021 |
Real period |
R |
4.0392442957152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1984b1 496f1 17856ce1 49600bw1 |
Quadratic twists by: -4 8 -3 5 |