Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cj |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1772928 |
Modular degree for the optimal curve |
Δ |
6339080937927168000 = 212 · 36 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1243765,520385725] |
[a1,a2,a3,a4,a6] |
Generators |
[820:7155:1] |
Generators of the group modulo torsion |
j |
3058794496/91125 |
j-invariant |
L |
5.4651798995823 |
L(r)(E,1)/r! |
Ω |
0.23703122409659 |
Real period |
R |
3.8427988553408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5415j1 86640ee1 |
Quadratic twists by: -4 -19 |