Atkin-Lehner |
3- 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465s |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
254688 |
Modular degree for the optimal curve |
Δ |
-91761323671875 = -1 · 3 · 57 · 116 · 13 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-107310,-13574011] |
[a1,a2,a3,a4,a6] |
j |
-136662179884226523136/91761323671875 |
j-invariant |
L |
5.5391225597368 |
L(r)(E,1)/r! |
Ω |
0.13188387047047 |
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 |
109395i1 |
Quadratic twists by: -3 |