Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bz |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
2751337212642000 = 24 · 34 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1220661,519488640] |
[a1,a2,a3,a4,a6] |
Generators |
[486252:-35433594:2197] |
Generators of the group modulo torsion |
j |
267219216891904/3655125 |
j-invariant |
L |
5.0314788906454 |
L(r)(E,1)/r! |
Ω |
0.41393131901309 |
Real period |
R |
6.0776735931232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660w1 4560v1 |
Quadratic twists by: -4 -19 |