Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150by |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-2356992000000000 = -1 · 217 · 33 · 59 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79888,-9032719] |
[a1,a2,a3,a4,a6] |
j |
-28869459898733/1206779904 |
j-invariant |
L |
4.8157789457877 |
L(r)(E,1)/r! |
Ω |
0.14164055723883 |
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 |
51150bd1 |
Quadratic twists by: 5 |