Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950x |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
4640625000000 = 26 · 33 · 512 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-268355,53574147] |
[a1,a2,a3,a4,a6] |
j |
5066026756449723/11000000 |
j-invariant |
L |
3.995686815068 |
L(r)(E,1)/r! |
Ω |
0.66594780251133 |
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 |
39600ci1 4950d3 990b1 54450o1 |
Quadratic twists by: -4 -3 5 -11 |