Atkin-Lehner |
2+ 3+ 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766c |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
231168 |
Modular degree for the optimal curve |
Δ |
-363753655037136 = -1 · 24 · 36 · 7 · 137 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-87117,9903213] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:4291:1] [-102:4263:1] |
Generators of the group modulo torsion |
j |
-73120682398346757721/363753655037136 |
j-invariant |
L |
5.7998561020275 |
L(r)(E,1)/r! |
Ω |
0.54007201283813 |
Real period |
R |
0.3835372191221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298bh1 |
Quadratic twists by: -3 |