Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346bh |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
792 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
573048590709030912 = 222 · 39 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1152040,474445376] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:28376:1] |
Generators of the group modulo torsion |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
6.5934294371911 |
L(r)(E,1)/r! |
Ω |
0.29211375423937 |
Real period |
R |
0.11399719523441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52038r1 354e1 |
Quadratic twists by: -3 -7 |