Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050m |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
624 |
Modular degree for the optimal curve |
Δ |
10050 = 2 · 3 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
744385/402 |
j-invariant |
L |
3.5806972769866 |
L(r)(E,1)/r! |
Ω |
3.3180439840448 |
Real period |
R |
1.0791590751071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400bt1 30150cn1 10050ba1 |
Quadratic twists by: -4 -3 5 |