Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bt |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-8814002826350592 = -1 · 212 · 313 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3- 4 -5 -5 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35637,3701050] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/2951791713 |
j-invariant |
L |
2.2601429802816 |
L(r)(E,1)/r! |
Ω |
0.28251785547886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5499i1 29328bb1 |
Quadratic twists by: -4 -3 |