Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cc |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-8647361888256 = -1 · 216 · 38 · 7 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4976,40384] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-416:1] [570:13702:1] |
Generators of the group modulo torsion |
j |
3325964415983/2111172336 |
j-invariant |
L |
8.3780703856856 |
L(r)(E,1)/r! |
Ω |
0.45621628318516 |
Real period |
R |
4.5910627778826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282s1 |
Quadratic twists by: -4 |