Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cm |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-175602795315200000 = -1 · 218 · 55 · 118 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90508,22722832] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3872:1] |
Generators of the group modulo torsion |
j |
-1459161/3125 |
j-invariant |
L |
2.7210716290649 |
L(r)(E,1)/r! |
Ω |
0.28524450690425 |
Real period |
R |
0.79495297402932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720s1 9680bf1 38720cl1 |
Quadratic twists by: -4 8 -11 |