Atkin-Lehner |
3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39249a |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-1188102362116931163 = -1 · 39 · 714 · 89 |
Discriminant |
Eigenvalues |
0 3+ -2 7- 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2646,-52442728] |
[a1,a2,a3,a4,a6] |
j |
-884736/513067289 |
j-invariant |
L |
0.50115182484081 |
L(r)(E,1)/r! |
Ω |
0.1252879562086 |
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 |
39249b1 5607b1 |
Quadratic twists by: -3 -7 |