Atkin-Lehner |
3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925ba |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-14974878067875 = -1 · 316 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11+ -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5640,-89919] |
[a1,a2,a3,a4,a6] |
Generators |
[65:742:1] |
Generators of the group modulo torsion |
j |
217732612096/164333367 |
j-invariant |
L |
5.193475249287 |
L(r)(E,1)/r! |
Ω |
0.39175986993959 |
Real period |
R |
1.6570977682348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18975x1 56925bd1 |
Quadratic twists by: -3 5 |