Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450v |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
1143072 |
Modular degree for the optimal curve |
Δ |
134758449360080000 = 27 · 54 · 79 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139976,-9725802] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:2201:1] |
Generators of the group modulo torsion |
j |
485288467954844425/215613518976128 |
j-invariant |
L |
3.5949181440048 |
L(r)(E,1)/r! |
Ω |
0.25720507872198 |
Real period |
R |
1.5529839122793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980499 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86450bd1 |
Quadratic twists by: 5 |