Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640cz |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-13479649935360 = -1 · 216 · 3 · 5 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11040,-483852] |
[a1,a2,a3,a4,a6] |
Generators |
[493540206:7282290176:1860867] |
Generators of the group modulo torsion |
j |
-36333758230561/3290930160 |
j-invariant |
L |
8.5506399043027 |
L(r)(E,1)/r! |
Ω |
0.23168001223847 |
Real period |
R |
9.2267777242509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830w1 115920ds1 |
Quadratic twists by: -4 -3 |