Atkin-Lehner |
2+ 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42328c |
Isogeny class |
Conductor |
42328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-70433792 = -1 · 210 · 11 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,101,102] |
[a1,a2,a3,a4,a6] |
j |
111272508/68783 |
j-invariant |
L |
1.2036971306501 |
L(r)(E,1)/r! |
Ω |
1.2036971307141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84656g1 |
Quadratic twists by: -4 |