Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775i |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
43732265625 = 32 · 57 · 37 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1457751,677321773] |
[a1,a2,a3,a4,a6] |
Generators |
[122550008:-68072831:175616] |
Generators of the group modulo torsion |
j |
21925691636751231841/2798865 |
j-invariant |
L |
11.520330168559 |
L(r)(E,1)/r! |
Ω |
0.64923402858262 |
Real period |
R |
8.8722476783436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755e1 |
Quadratic twists by: 5 |