Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720u |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-319277809664000 = -1 · 217 · 53 · 117 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 11- -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32428,2406448] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:1936:1] [-44:1936:1] |
Generators of the group modulo torsion |
j |
-16241202/1375 |
j-invariant |
L |
4.8777797679582 |
L(r)(E,1)/r! |
Ω |
0.53175682733037 |
Real period |
R |
0.5733094900313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720ck1 4840i1 3520h1 |
Quadratic twists by: -4 8 -11 |