Atkin-Lehner |
5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39775d |
Isogeny class |
Conductor |
39775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-1700704421875 = -1 · 56 · 372 · 433 |
Discriminant |
Eigenvalues |
2 0 5+ 4 -5 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1775,69031] |
[a1,a2,a3,a4,a6] |
j |
-39582093312/108845083 |
j-invariant |
L |
2.9636176006893 |
L(r)(E,1)/r! |
Ω |
0.74090440015544 |
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 |
1591a1 |
Quadratic twists by: 5 |