Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17700q |
Isogeny class |
Conductor |
17700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
796500000000 = 28 · 33 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 -1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3133,-53137] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:75:1] |
Generators of the group modulo torsion |
j |
850518016/199125 |
j-invariant |
L |
5.824371362872 |
L(r)(E,1)/r! |
Ω |
0.64890313333999 |
Real period |
R |
1.4959529560016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800bj1 53100q1 3540e1 |
Quadratic twists by: -4 -3 5 |