Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41038r |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-3962230226488 = -1 · 23 · 178 · 71 |
Discriminant |
Eigenvalues |
2- -2 0 2 3 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6653,229225] |
[a1,a2,a3,a4,a6] |
Generators |
[529828:1562629:12167] |
Generators of the group modulo torsion |
j |
-4668625/568 |
j-invariant |
L |
7.5151977264844 |
L(r)(E,1)/r! |
Ω |
0.76029588891825 |
Real period |
R |
9.8845697261045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41038p1 |
Quadratic twists by: 17 |