Atkin-Lehner |
2+ 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850d |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56774432520000000 = 29 · 310 · 57 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4442775,3602503125] |
[a1,a2,a3,a4,a6] |
Generators |
[2275:71500:1] |
Generators of the group modulo torsion |
j |
620678635894145336689/3633563681280 |
j-invariant |
L |
3.6115107688365 |
L(r)(E,1)/r! |
Ω |
0.31372950864717 |
Real period |
R |
5.7557715544984 |
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 |
16770ba2 |
Quadratic twists by: 5 |