Atkin-Lehner |
2+ 3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010j |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
168190447680 = 26 · 312 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1575,-13379] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:41:1] [-9:7:1] |
Generators of the group modulo torsion |
j |
592915705201/230713920 |
j-invariant |
L |
8.2260185591777 |
L(r)(E,1)/r! |
Ω |
0.78334744931641 |
Real period |
R |
5.2505555268334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670u1 |
Quadratic twists by: -3 |