Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414w |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-328804423041024 = -1 · 217 · 311 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 5 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16317,-346923] |
[a1,a2,a3,a4,a6] |
j |
2280364702703/1560674304 |
j-invariant |
L |
2.4549606809319 |
L(r)(E,1)/r! |
Ω |
0.30687008511521 |
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 |
12138y1 36414bo1 |
Quadratic twists by: -3 17 |