Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725u |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
396288 |
Modular degree for the optimal curve |
Δ |
-95091614296875 = -1 · 37 · 57 · 7 · 433 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -6 -3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6675,-419594] |
[a1,a2,a3,a4,a6] |
Generators |
[280:-4838:1] |
Generators of the group modulo torsion |
j |
2887553024/8348235 |
j-invariant |
L |
1.3913889571852 |
L(r)(E,1)/r! |
Ω |
0.30824814530852 |
Real period |
R |
0.18807749784931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22575d1 13545i1 |
Quadratic twists by: -3 5 |