Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ic |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
77728896000 = 210 · 36 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2581,-49525] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:9:1] |
Generators of the group modulo torsion |
j |
1857616347136/75907125 |
j-invariant |
L |
7.6573261319655 |
L(r)(E,1)/r! |
Ω |
0.67147830022516 |
Real period |
R |
1.9006139481475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240u1 28560cq1 |
Quadratic twists by: -4 8 |