Atkin-Lehner |
2+ 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56050d |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1570801250000 = 24 · 57 · 192 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11251,454398] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:976:1] [-8:741:1] |
Generators of the group modulo torsion |
j |
10079095744801/100531280 |
j-invariant |
L |
3.8021482684541 |
L(r)(E,1)/r! |
Ω |
0.84955075960745 |
Real period |
R |
0.55943512283653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210d2 |
Quadratic twists by: 5 |