Atkin-Lehner |
5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525a |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-6005880345390625 = -1 · 57 · 77 · 173 · 19 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -3 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7349,3721323] |
[a1,a2,a3,a4,a6] |
Generators |
[67:2091:1] |
Generators of the group modulo torsion |
j |
2809786849631/384376342105 |
j-invariant |
L |
2.5850138035006 |
L(r)(E,1)/r! |
Ω |
0.32723196133 |
Real period |
R |
3.9498186438966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11305e1 |
Quadratic twists by: 5 |