Atkin-Lehner |
2- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9860d |
Isogeny class |
Conductor |
9860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
83810000 = 24 · 54 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 0 6 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2785,-55650] |
[a1,a2,a3,a4,a6] |
Generators |
[4170:94605:8] |
Generators of the group modulo torsion |
j |
149360328196096/5238125 |
j-invariant |
L |
6.6703888410396 |
L(r)(E,1)/r! |
Ω |
0.65717521274293 |
Real period |
R |
5.0750459783766 |
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 |
39440l1 88740i1 49300g1 |
Quadratic twists by: -4 -3 5 |