Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20184i |
Isogeny class |
Conductor |
20184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90480 |
Modular degree for the optimal curve |
Δ |
-384189245154048 = -1 · 28 · 3 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -2 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-162593,-25306749] |
[a1,a2,a3,a4,a6] |
Generators |
[23806563:451914094:35937] |
Generators of the group modulo torsion |
j |
-3712000/3 |
j-invariant |
L |
6.1451600888464 |
L(r)(E,1)/r! |
Ω |
0.11887015433731 |
Real period |
R |
12.92410219181 |
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 |
40368g1 60552w1 20184k1 |
Quadratic twists by: -4 -3 29 |