Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850co |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
992839680000 = 214 · 36 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4842,121716] |
[a1,a2,a3,a4,a6] |
Generators |
[4:318:1] |
Generators of the group modulo torsion |
j |
27557573425/2179072 |
j-invariant |
L |
3.5941855731185 |
L(r)(E,1)/r! |
Ω |
0.85896916053002 |
Real period |
R |
0.69738351079723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bb1 59850fb1 |
Quadratic twists by: -3 5 |