Atkin-Lehner |
2+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680i |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-1563431680 = -1 · 28 · 5 · 313 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 -1 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,268,876] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:9115:343] |
Generators of the group modulo torsion |
j |
8315495424/6107155 |
j-invariant |
L |
6.5069982750855 |
L(r)(E,1)/r! |
Ω |
0.95887926494212 |
Real period |
R |
6.7860454543578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50840l1 |
Quadratic twists by: -4 |