Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204k |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-52777947320689968 = -1 · 24 · 37 · 138 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91711,2779230] |
[a1,a2,a3,a4,a6] |
Generators |
[215066:35264047:8] |
Generators of the group modulo torsion |
j |
1104595238912/683395947 |
j-invariant |
L |
3.3964319833082 |
L(r)(E,1)/r! |
Ω |
0.21931019750804 |
Real period |
R |
7.743442881189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708c1 |
Quadratic twists by: 13 |