Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bc |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
3.391658161056E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19497451,-33020076202] |
[a1,a2,a3,a4,a6] |
j |
419688581788552310261/1736528978460672 |
j-invariant |
L |
1.4372859987309 |
L(r)(E,1)/r! |
Ω |
0.071864299934072 |
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 |
51150bw1 |
Quadratic twists by: 5 |