Atkin-Lehner |
5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525k |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-142838675 = -1 · 52 · 72 · 17 · 193 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-323,2418] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:66:1] |
Generators of the group modulo torsion |
j |
-149532344320/5713547 |
j-invariant |
L |
3.5197396529924 |
L(r)(E,1)/r! |
Ω |
1.8236557264841 |
Real period |
R |
0.32167435278202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56525y1 |
Quadratic twists by: 5 |