Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
1800q |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-864000 = -1 · 28 · 33 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15,50] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
-432 |
j-invariant |
L |
2.7824559177838 |
L(r)(E,1)/r! |
Ω |
2.4918251612036 |
Real period |
R |
0.27915842181718 |
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 |
3600h1 14400t1 1800e1 1800d1 |
Quadratic twists by: -4 8 -3 5 |