Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pu |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-10450944000 = -1 · 214 · 36 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1440,21600] |
[a1,a2,a3,a4,a6] |
Generators |
[25:35:1] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
5.8047844081579 |
L(r)(E,1)/r! |
Ω |
1.2784448484384 |
Real period |
R |
2.2702521698788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800gw1 25200fq1 11200di1 100800ow1 |
Quadratic twists by: -4 8 -3 5 |