Atkin-Lehner |
3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247i |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-4359936321087291 = -1 · 38 · 7 · 377 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 3 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4107,-3178476] |
[a1,a2,a3,a4,a6] |
j |
-4096/2331 |
j-invariant |
L |
1.5712360344537 |
L(r)(E,1)/r! |
Ω |
0.19640449681841 |
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 |
28749g1 2331d1 |
Quadratic twists by: -3 37 |