Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41888g |
Isogeny class |
Conductor |
41888 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-78500122624 = -1 · 212 · 7 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 11- -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,772,10656] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:44:1] [5:121:1] |
Generators of the group modulo torsion |
j |
12422690496/19165069 |
j-invariant |
L |
8.306880059396 |
L(r)(E,1)/r! |
Ω |
0.73862394464291 |
Real period |
R |
0.56232133548091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41888c1 83776b1 |
Quadratic twists by: -4 8 |