Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fc |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-208324872000 = -1 · 26 · 312 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,933,19024] |
[a1,a2,a3,a4,a6] |
Generators |
[68:630:1] |
Generators of the group modulo torsion |
j |
1925134784/4465125 |
j-invariant |
L |
5.7369955439023 |
L(r)(E,1)/r! |
Ω |
0.69670134713607 |
Real period |
R |
1.3724186524315 |
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 |
20160ep1 10080bq2 6720by1 100800lp1 |
Quadratic twists by: -4 8 -3 5 |