Atkin-Lehner |
5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3995b |
Isogeny class |
Conductor |
3995 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3660 |
Modular degree for the optimal curve |
Δ |
-5515596875 = -1 · 55 · 17 · 473 |
Discriminant |
Eigenvalues |
-2 -1 5+ 4 -4 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-86,-3558] |
[a1,a2,a3,a4,a6] |
j |
-71163817984/5515596875 |
j-invariant |
L |
0.59759621829787 |
L(r)(E,1)/r! |
Ω |
0.59759621829787 |
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 |
63920d1 35955l1 19975e1 67915o1 |
Quadratic twists by: -4 -3 5 17 |