Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600bb |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
223224238112000 = 28 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 1 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32753,-2176277] |
[a1,a2,a3,a4,a6] |
Generators |
[-966:1445:8] |
Generators of the group modulo torsion |
j |
17408 |
j-invariant |
L |
3.2637754456683 |
L(r)(E,1)/r! |
Ω |
0.35615592262992 |
Real period |
R |
1.5273158418452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998433417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800r1 115600ba1 115600v1 |
Quadratic twists by: -4 5 17 |