Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304bj |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-104291603136 = -1 · 26 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-801,-17820] |
[a1,a2,a3,a4,a6] |
Generators |
[1408:52822:1] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
3.67496340087 |
L(r)(E,1)/r! |
Ω |
0.42296083885746 |
Real period |
R |
4.3443305659191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304w1 76608bu2 4256a1 |
Quadratic twists by: -4 8 -3 |