Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400dt |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-3499200 = -1 · 26 · 37 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30,110] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
-2560/3 |
j-invariant |
L |
5.142344894187 |
L(r)(E,1)/r! |
Ω |
2.2662369361723 |
Real period |
R |
0.5672779412545 |
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 |
14400du1 7200bh1 4800bj1 14400en1 |
Quadratic twists by: -4 8 -3 5 |