Atkin-Lehner |
2- 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bx |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
2483270156250000 = 24 · 37 · 510 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59813,5069531] |
[a1,a2,a3,a4,a6] |
j |
1514575392925321/158929290000 |
j-invariant |
L |
3.5526479143835 |
L(r)(E,1)/r! |
Ω |
0.44408098683138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770h1 |
Quadratic twists by: 5 |