Atkin-Lehner |
2+ 3- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778f |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5082593750305344 = 26 · 310 · 72 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255708,-49587440] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:371:1] |
Generators of the group modulo torsion |
j |
2536472075655978433/6972007887936 |
j-invariant |
L |
3.2760531758542 |
L(r)(E,1)/r! |
Ω |
0.21234162957445 |
Real period |
R |
3.8570547640826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16926z2 |
Quadratic twists by: -3 |