Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384db |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-3001909248 = -1 · 215 · 35 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -3 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,-2625] |
[a1,a2,a3,a4,a6] |
Generators |
[13:12:1] [19:72:1] |
Generators of the group modulo torsion |
j |
97336/91611 |
j-invariant |
L |
10.324815801531 |
L(r)(E,1)/r! |
Ω |
0.66420877881571 |
Real period |
R |
0.7772266891668 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72384by1 36192i1 |
Quadratic twists by: -4 8 |