Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544cd |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-7514342962495488 = -1 · 224 · 34 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45456,-1880640] |
[a1,a2,a3,a4,a6] |
Generators |
[138:2646:1] |
Generators of the group modulo torsion |
j |
21554582687/15593472 |
j-invariant |
L |
3.6458717664856 |
L(r)(E,1)/r! |
Ω |
0.23457850144405 |
Real period |
R |
1.9427780822515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818bj1 2256p1 |
Quadratic twists by: -4 -7 |