Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94248be |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
9049508987904 = 210 · 39 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13971,618910] |
[a1,a2,a3,a4,a6] |
Generators |
[38:378:1] |
Generators of the group modulo torsion |
j |
403997525572/12122649 |
j-invariant |
L |
5.8830571029614 |
L(r)(E,1)/r! |
Ω |
0.72758026692457 |
Real period |
R |
1.0107230384699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416i1 |
Quadratic twists by: -3 |