Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800bc |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-54844711200000000 = -1 · 211 · 313 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40208,-11673588] |
[a1,a2,a3,a4,a6] |
j |
-8986321250/68555889 |
j-invariant |
L |
0.44671409206422 |
L(r)(E,1)/r! |
Ω |
0.14890469735477 |
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 |
51600bf1 77400v1 25800m1 |
Quadratic twists by: -4 -3 5 |