Atkin-Lehner |
2- 5- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bm |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
595968 |
Modular degree for the optimal curve |
Δ |
42503412224000 = 212 · 53 · 72 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -2 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-177223,-28788419] |
[a1,a2,a3,a4,a6] |
Generators |
[889:22298:1] |
Generators of the group modulo torsion |
j |
4924635643644594821/340027297792 |
j-invariant |
L |
13.846007429007 |
L(r)(E,1)/r! |
Ω |
0.23268657129079 |
Real period |
R |
2.4793737474871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450r1 |
Quadratic twists by: 5 |