Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864bh |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
11363667968016 = 24 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19551,-1039633] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:637:8] |
Generators of the group modulo torsion |
j |
12291328/169 |
j-invariant |
L |
7.7497013710706 |
L(r)(E,1)/r! |
Ω |
0.40408129860323 |
Real period |
R |
1.5982141460647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728p1 5096b1 45864bz1 |
Quadratic twists by: -4 -3 -7 |