Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bp |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-454826966725361664 = -1 · 216 · 313 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,176901,15254570] |
[a1,a2,a3,a4,a6] |
Generators |
[19117:2643840:1] |
Generators of the group modulo torsion |
j |
205034573717063/152320630896 |
j-invariant |
L |
7.221138133211 |
L(r)(E,1)/r! |
Ω |
0.18928781460675 |
Real period |
R |
4.7686232128923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4662n1 12432ba1 |
Quadratic twists by: -4 -3 |