Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39710o |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-9340959672550 = -1 · 2 · 52 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7288,-279183] |
[a1,a2,a3,a4,a6] |
j |
-2520369/550 |
j-invariant |
L |
2.0430539868689 |
L(r)(E,1)/r! |
Ω |
0.25538174835037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39710c1 |
Quadratic twists by: -19 |