Atkin-Lehner |
2- 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450y |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-4204928000000 = -1 · 213 · 56 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -1 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12138,519031] |
[a1,a2,a3,a4,a6] |
Generators |
[41:283:1] [-530:8411:8] |
Generators of the group modulo torsion |
j |
-12657482097625/269115392 |
j-invariant |
L |
13.10098817492 |
L(r)(E,1)/r! |
Ω |
0.77897252752013 |
Real period |
R |
0.32342871075714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458b1 |
Quadratic twists by: 5 |