Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800jj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
705438720000000 = 216 · 39 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24300,-702000] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:800:1] [-84:864:1] |
Generators of the group modulo torsion |
j |
78732/35 |
j-invariant |
L |
11.331729395571 |
L(r)(E,1)/r! |
Ω |
0.39848190081068 |
Real period |
R |
3.5546562383207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800bd1 25200h1 100800jc1 20160dn1 |
Quadratic twists by: -4 8 -3 5 |