Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725s |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-36120070546875 = -1 · 36 · 57 · 73 · 432 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 3 1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,289156] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-538:1] |
Generators of the group modulo torsion |
j |
-4096/3171035 |
j-invariant |
L |
3.1588485344921 |
L(r)(E,1)/r! |
Ω |
0.51820285161622 |
Real period |
R |
0.76197200687634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7525b1 13545h1 |
Quadratic twists by: -3 5 |