Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048bj |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-74136158208 = -1 · 218 · 32 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1345,23521] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:192:1] [7:120:1] |
Generators of the group modulo torsion |
j |
-1027243729/282807 |
j-invariant |
L |
7.0867214231094 |
L(r)(E,1)/r! |
Ω |
1.0357596916064 |
Real period |
R |
1.710512940439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048u1 22512t1 |
Quadratic twists by: -4 8 |