Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450ek |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-37485751353750000 = -1 · 24 · 37 · 57 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155255,-25282753] |
[a1,a2,a3,a4,a6] |
Generators |
[505:4738:1] |
Generators of the group modulo torsion |
j |
-36333758230561/3290930160 |
j-invariant |
L |
10.553941458772 |
L(r)(E,1)/r! |
Ω |
0.11963904387316 |
Real period |
R |
2.7567143627202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24150be1 14490f1 |
Quadratic twists by: -3 5 |