Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800hj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-40186125000000 = -1 · 26 · 38 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,-362500] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1134:1] |
Generators of the group modulo torsion |
j |
-314432/441 |
j-invariant |
L |
3.655645435388 |
L(r)(E,1)/r! |
Ω |
0.25416876322785 |
Real period |
R |
3.5956871561053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800im1 50400ef2 33600bv1 100800io1 |
Quadratic twists by: -4 8 -3 5 |