Atkin-Lehner |
2+ 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850d |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
180826214400000000 = 218 · 35 · 58 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-282775,54023125] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:10705:1] |
Generators of the group modulo torsion |
j |
160040212374431089/11572877721600 |
j-invariant |
L |
3.6115107688365 |
L(r)(E,1)/r! |
Ω |
0.31372950864717 |
Real period |
R |
2.8778857772492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770ba1 |
Quadratic twists by: 5 |