Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120ba |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
372099200000 = 210 · 55 · 112 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4621,-118845] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:11:1] |
Generators of the group modulo torsion |
j |
10659225266176/363378125 |
j-invariant |
L |
2.7425603348435 |
L(r)(E,1)/r! |
Ω |
0.5802509571173 |
Real period |
R |
2.3632536121844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120e1 27280f1 |
Quadratic twists by: -4 8 |