Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592bc |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1382821134336 = 220 · 39 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21324,-1197200] |
[a1,a2,a3,a4,a6] |
Generators |
[932:28080:1] |
Generators of the group modulo torsion |
j |
5611284433/7236 |
j-invariant |
L |
6.8088158874259 |
L(r)(E,1)/r! |
Ω |
0.39510817557931 |
Real period |
R |
4.3081972914407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bw1 1206b1 12864u1 |
Quadratic twists by: -4 8 -3 |