Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800iq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
60480000000 = 212 · 33 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3300,-72000] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:12:1] [-35:25:1] |
Generators of the group modulo torsion |
j |
2299968/35 |
j-invariant |
L |
11.246326727977 |
L(r)(E,1)/r! |
Ω |
0.63048024167404 |
Real period |
R |
2.2297143480794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jq1 50400cd1 100800ip1 20160dh1 |
Quadratic twists by: -4 8 -3 5 |