Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200be |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
-3.898605568E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3611592,-9126252688] |
[a1,a2,a3,a4,a6] |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
5.7217773412576 |
L(r)(E,1)/r! |
Ω |
0.057217773416067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150i1 11440k1 |
Quadratic twists by: -4 5 |