Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450r |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-1585152000000000 = -1 · 221 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5201,1920548] |
[a1,a2,a3,a4,a6] |
j |
-7964053973/811597824 |
j-invariant |
L |
1.5619151737485 |
L(r)(E,1)/r! |
Ω |
0.39047879343713 |
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 |
51600ce1 19350cv1 6450be1 |
Quadratic twists by: -4 -3 5 |