Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39710p |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
401280 |
Modular degree for the optimal curve |
Δ |
-36347542277826560 = -1 · 211 · 5 · 11 · 199 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11+ -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30151,-9403971] |
[a1,a2,a3,a4,a6] |
j |
-9393931/112640 |
j-invariant |
L |
3.4322498459231 |
L(r)(E,1)/r! |
Ω |
0.15601135663291 |
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 |
39710a1 |
Quadratic twists by: -19 |