Atkin-Lehner |
2+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57152f |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-4140958055558807552 = -1 · 221 · 197 · 472 |
Discriminant |
Eigenvalues |
2+ -1 2 -3 0 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,377183,40319777] |
[a1,a2,a3,a4,a6] |
Generators |
[10553:1085888:1] |
Generators of the group modulo torsion |
j |
22638047668438103/15796501371608 |
j-invariant |
L |
4.9134828199423 |
L(r)(E,1)/r! |
Ω |
0.15605836971937 |
Real period |
R |
0.56223043211814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152h1 1786b1 |
Quadratic twists by: -4 8 |