Atkin-Lehner |
2- 3- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
41814f |
Isogeny class |
Conductor |
41814 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-23071667817954816 = -1 · 29 · 313 · 234 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87287,-12304177] |
[a1,a2,a3,a4,a6] |
j |
-100888164601230889/31648378351104 |
j-invariant |
L |
4.9206629580151 |
L(r)(E,1)/r! |
Ω |
0.13668508216712 |
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 |
13938f1 |
Quadratic twists by: -3 |