Atkin-Lehner |
2- 3+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10812c |
Isogeny class |
Conductor |
10812 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
95760 |
Modular degree for the optimal curve |
Δ |
5459960356608 = 28 · 3 · 17 · 535 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 -2 -7 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-361196,83673528] |
[a1,a2,a3,a4,a6] |
j |
20356998547418647504/21327970143 |
j-invariant |
L |
1.9225858477896 |
L(r)(E,1)/r! |
Ω |
0.64086194926321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248ba1 32436m1 |
Quadratic twists by: -4 -3 |