Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23128m |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-831695644980422656 = -1 · 211 · 711 · 593 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 6 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11994040,-15992140368] |
[a1,a2,a3,a4,a6] |
Generators |
[34944173:1610946148:6859] |
Generators of the group modulo torsion |
j |
-791957789108586578/3451804853 |
j-invariant |
L |
3.7281904674867 |
L(r)(E,1)/r! |
Ω |
0.040562813359189 |
Real period |
R |
7.6592946402927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46256l1 3304a1 |
Quadratic twists by: -4 -7 |