Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1800u |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-583200000000 = -1 · 211 · 36 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -1 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1125,33750] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
1.9591182320999 |
L(r)(E,1)/r! |
Ω |
0.65303941069995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3600t1 14400bz1 200a1 1800f1 |
Quadratic twists by: -4 8 -3 5 |