Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mm |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-130636800 = -1 · 210 · 36 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[21:81:1] |
Generators of the group modulo torsion |
j |
-34560/7 |
j-invariant |
L |
7.2434068807911 |
L(r)(E,1)/r! |
Ω |
1.7727634425424 |
Real period |
R |
2.0429705176686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800gb1 25200ee1 11200bw1 100800pz1 |
Quadratic twists by: -4 8 -3 5 |