Atkin-Lehner |
2+ 3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402o |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
526848 |
Modular degree for the optimal curve |
Δ |
-82868408332416 = -1 · 27 · 36 · 73 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170826,27221876] |
[a1,a2,a3,a4,a6] |
Generators |
[239:-60:1] |
Generators of the group modulo torsion |
j |
-756239798263546017/113674085504 |
j-invariant |
L |
4.2998243795884 |
L(r)(E,1)/r! |
Ω |
0.58717990644894 |
Real period |
R |
0.61023664870368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378s1 |
Quadratic twists by: -3 |