Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800br |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-17200000000 = -1 · 210 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 3 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2000,-35000] |
[a1,a2,a3,a4,a6] |
j |
-2211840/43 |
j-invariant |
L |
2.1392564471285 |
L(r)(E,1)/r! |
Ω |
0.35654274078248 |
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 |
68800eh1 4300c1 68800z1 |
Quadratic twists by: -4 8 5 |