Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10092b |
Isogeny class |
Conductor |
10092 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39780 |
Modular degree for the optimal curve |
Δ |
-27803360533248 = -1 · 28 · 317 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 2 6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2165,257361] |
[a1,a2,a3,a4,a6] |
j |
-5215092736/129140163 |
j-invariant |
L |
1.6732928591013 |
L(r)(E,1)/r! |
Ω |
0.55776428636708 |
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 |
40368bk1 30276n1 10092k1 |
Quadratic twists by: -4 -3 29 |