Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1950j |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
58500 = 22 · 32 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
2.5681211733003 |
L(r)(E,1)/r! |
Ω |
2.4279547902651 |
Real period |
R |
0.52886511388045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600bo1 62400bp1 5850bu1 1950t1 |
Quadratic twists by: -4 8 -3 5 |