Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bx |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-2.1757888750735E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4704641,3989728895] |
[a1,a2,a3,a4,a6] |
Generators |
[332297:6344192:343] |
Generators of the group modulo torsion |
j |
-1693700041/32000 |
j-invariant |
L |
5.3319466028486 |
L(r)(E,1)/r! |
Ω |
0.17748128447505 |
Real period |
R |
7.5105758596157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720n1 9680bb1 38720bv1 |
Quadratic twists by: -4 8 -11 |