Atkin-Lehner |
3- 5+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185m |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-90519695068359375 = -1 · 311 · 512 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48487,13867656] |
[a1,a2,a3,a4,a6] |
j |
17293405434895799/124169677734375 |
j-invariant |
L |
0.98758337058173 |
L(r)(E,1)/r! |
Ω |
0.24689581933637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31395f1 |
Quadratic twists by: -3 |