Atkin-Lehner |
2+ 3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906q |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
352000 |
Modular degree for the optimal curve |
Δ |
-1630839388518054 = -1 · 2 · 311 · 11 · 132 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11- 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9063,1973403] |
[a1,a2,a3,a4,a6] |
j |
-112937736208753/2237091067926 |
j-invariant |
L |
1.5953685372501 |
L(r)(E,1)/r! |
Ω |
0.39884213430808 |
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 |
16302t1 |
Quadratic twists by: -3 |