Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400de |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
216000 = 26 · 33 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.5944671790004 |
L(r)(E,1)/r! |
Ω |
2.664706621764 |
Real period |
R |
1.7241925026474 |
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 |
14400de1 7200bd2 14400dd1 14400db1 |
Quadratic twists by: -4 8 -3 5 |