Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432bc |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-80051225764608 = -1 · 28 · 33 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 3 4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9669,568233] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:882:1] |
Generators of the group modulo torsion |
j |
-3319595008/2657907 |
j-invariant |
L |
5.0971664829122 |
L(r)(E,1)/r! |
Ω |
0.55912866353302 |
Real period |
R |
2.2790668827372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108h1 13776ba1 |
Quadratic twists by: -4 -7 |