Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616x |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-9970200576 = -1 · 212 · 38 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6557,202251] |
[a1,a2,a3,a4,a6] |
Generators |
[37:108:1] |
Generators of the group modulo torsion |
j |
-7612819752448/2434131 |
j-invariant |
L |
4.8869833038049 |
L(r)(E,1)/r! |
Ω |
1.2628296541452 |
Real period |
R |
0.24186671217707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616g1 71232j1 106848n1 |
Quadratic twists by: -4 8 -3 |