Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800cd |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-1720000 = -1 · 26 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -4 -2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50,150] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
-345600/43 |
j-invariant |
L |
5.0192791658697 |
L(r)(E,1)/r! |
Ω |
2.576002565576 |
Real period |
R |
0.64949199880469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bs1 34400bj1 68800e1 |
Quadratic twists by: -4 8 5 |