Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906bs |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
1113490432524288 = 216 · 3 · 77 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151607,-22676823] |
[a1,a2,a3,a4,a6] |
Generators |
[666:12777:1] |
Generators of the group modulo torsion |
j |
3275619238041697/9464512512 |
j-invariant |
L |
15.531141850845 |
L(r)(E,1)/r! |
Ω |
0.2419887381188 |
Real period |
R |
4.0113286786958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558m1 |
Quadratic twists by: -7 |