Atkin-Lehner |
2- 3- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bp |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-487938005015040 = -1 · 29 · 312 · 5 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4657,-1056873] |
[a1,a2,a3,a4,a6] |
Generators |
[257:4002:1] [95:438:1] |
Generators of the group modulo torsion |
j |
15325064901719/669325109760 |
j-invariant |
L |
14.835208221768 |
L(r)(E,1)/r! |
Ω |
0.25148624364151 |
Real period |
R |
0.54620498166244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230h1 |
Quadratic twists by: -3 |