Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198l |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
169569409056768 = 214 · 310 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36320,2598531] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:2313:1] |
Generators of the group modulo torsion |
j |
7268126762877625/232605499392 |
j-invariant |
L |
6.9511467214974 |
L(r)(E,1)/r! |
Ω |
0.56943018163058 |
Real period |
R |
0.21798567064235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584w1 3066c1 64386bo1 |
Quadratic twists by: -4 -3 -7 |