Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cg |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-324538368 = -1 · 212 · 3 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,3156] |
[a1,a2,a3,a4,a6] |
j |
-765625/33 |
j-invariant |
L |
3.4001576486373 |
L(r)(E,1)/r! |
Ω |
1.7000788243186 |
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 |
1617a1 103488et1 77616eh1 25872bt1 |
Quadratic twists by: -4 8 -3 -7 |