Atkin-Lehner |
3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
37281d |
Isogeny class |
Conductor |
37281 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-656007205509081 = -1 · 37 · 178 · 43 |
Discriminant |
Eigenvalues |
1 3- -3 1 -5 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16900,-894913] |
[a1,a2,a3,a4,a6] |
Generators |
[381:7612:1] |
Generators of the group modulo torsion |
j |
22117051943/27177849 |
j-invariant |
L |
5.3950886093516 |
L(r)(E,1)/r! |
Ω |
0.27410724393884 |
Real period |
R |
1.4058857641226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111843j1 2193a1 |
Quadratic twists by: -3 17 |