Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720y |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-13629440000000 = -1 · 217 · 57 · 113 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11+ -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,895,177025] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:275:1] [-15:400:1] |
Generators of the group modulo torsion |
j |
453962/78125 |
j-invariant |
L |
7.2275798191251 |
L(r)(E,1)/r! |
Ω |
0.54478941252782 |
Real period |
R |
0.23690608219178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720cr1 4840d1 38720x1 |
Quadratic twists by: -4 8 -11 |