Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bi |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
1225017851904 = 216 · 38 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5576,-149749] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:57:1] |
Generators of the group modulo torsion |
j |
26296107018553/1680408576 |
j-invariant |
L |
7.6752226986959 |
L(r)(E,1)/r! |
Ω |
0.55470476216272 |
Real period |
R |
1.7295738251763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094j1 |
Quadratic twists by: -3 |