Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616g |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
4 |
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] |
j |
-7612819752448/2434131 |
j-invariant |
L |
1.0610586863666 |
L(r)(E,1)/r! |
Ω |
0.26526467159066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616x1 71232bv1 106848bm1 |
Quadratic twists by: -4 8 -3 |