Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4335g |
Isogeny class |
Conductor |
4335 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
16459453125 = 36 · 57 · 172 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 1 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-640,-1106] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-38:1] |
Generators of the group modulo torsion |
j |
100471803904/56953125 |
j-invariant |
L |
2.1016843234102 |
L(r)(E,1)/r! |
Ω |
1.024164238525 |
Real period |
R |
0.048859451498139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360cw1 13005k1 21675g1 4335b1 |
Quadratic twists by: -4 -3 5 17 |