Atkin-Lehner |
2- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93058l |
Isogeny class |
Conductor |
93058 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
4228129686592 = 26 · 7 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17250,870689] |
[a1,a2,a3,a4,a6] |
Generators |
[277:4019:1] |
Generators of the group modulo torsion |
j |
23516564625/175168 |
j-invariant |
L |
10.965938868376 |
L(r)(E,1)/r! |
Ω |
0.78283708719198 |
Real period |
R |
4.6693149998044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474d1 |
Quadratic twists by: 17 |