Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bt |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-1223571044118528 = -1 · 212 · 310 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 -3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4344,-1679344] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1764:1] |
Generators of the group modulo torsion |
j |
3036027392/409771467 |
j-invariant |
L |
4.248561902099 |
L(r)(E,1)/r! |
Ω |
0.22970454521453 |
Real period |
R |
0.77065698582279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86688j1 28896e1 |
Quadratic twists by: -4 -3 |