Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450v |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
40087428792320000 = 221 · 54 · 73 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9615351,-11476936102] |
[a1,a2,a3,a4,a6] |
Generators |
[-14322:7661:8] |
Generators of the group modulo torsion |
j |
157303743146579700770425/64139886067712 |
j-invariant |
L |
3.5949181440048 |
L(r)(E,1)/r! |
Ω |
0.08573502624066 |
Real period |
R |
4.6589517368379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450bd2 |
Quadratic twists by: 5 |