Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184u |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
27522048 = 210 · 3 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 4 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,-267] |
[a1,a2,a3,a4,a6] |
Generators |
[2045:5852:125] |
Generators of the group modulo torsion |
j |
112377856/26877 |
j-invariant |
L |
8.5661103778225 |
L(r)(E,1)/r! |
Ω |
1.530858642634 |
Real period |
R |
5.5956246495838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184n1 25296o1 |
Quadratic twists by: -4 8 |