Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ch |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2800681779200000000 = -1 · 221 · 58 · 434 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -1 -4 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-588833,191845537] |
[a1,a2,a3,a4,a6] |
Generators |
[467:4300:1] |
Generators of the group modulo torsion |
j |
-220496102185/27350408 |
j-invariant |
L |
3.9751160304595 |
L(r)(E,1)/r! |
Ω |
0.24736272092744 |
Real period |
R |
0.6695828456062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dy1 2150f1 68800f1 |
Quadratic twists by: -4 8 5 |