Atkin-Lehner |
2- 3- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048ba |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-183812976 = -1 · 24 · 38 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -1 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222,1359] |
[a1,a2,a3,a4,a6] |
Generators |
[3:27:1] |
Generators of the group modulo torsion |
j |
-75965686528/11488311 |
j-invariant |
L |
7.8195792218854 |
L(r)(E,1)/r! |
Ω |
1.7367418820583 |
Real period |
R |
0.5628052231698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21012e1 |
Quadratic twists by: -4 |