Atkin-Lehner |
5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36425d |
Isogeny class |
Conductor |
36425 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-328508324462890625 = -1 · 512 · 315 · 47 |
Discriminant |
Eigenvalues |
1 1 5+ 4 -2 -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-758526,255702573] |
[a1,a2,a3,a4,a6] |
j |
-3088974179953491409/21024532765625 |
j-invariant |
L |
3.0633462659888 |
L(r)(E,1)/r! |
Ω |
0.30633462660008 |
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 |
7285c1 |
Quadratic twists by: 5 |