Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
1190846791680 = 226 · 3 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24001,-1422239] |
[a1,a2,a3,a4,a6] |
Generators |
[-5628:1561:64] |
Generators of the group modulo torsion |
j |
5832972054001/4542720 |
j-invariant |
L |
4.7814751258834 |
L(r)(E,1)/r! |
Ω |
0.3835844704397 |
Real period |
R |
6.2326234438956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bw1 21840ck1 |
Quadratic twists by: -4 8 |