Atkin-Lehner |
2+ 3+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39114b |
Isogeny class |
Conductor |
39114 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-5474708352 = -1 · 27 · 39 · 41 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 2 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,3572] |
[a1,a2,a3,a4,a6] |
j |
-421875/278144 |
j-invariant |
L |
2.1929357743237 |
L(r)(E,1)/r! |
Ω |
1.0964678871341 |
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 |
39114j1 |
Quadratic twists by: -3 |