Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17632f |
Isogeny class |
Conductor |
17632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-36062941184 = -1 · 212 · 192 · 293 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-508,10144] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:76:1] [-18:116:1] |
Generators of the group modulo torsion |
j |
-3539605824/8804429 |
j-invariant |
L |
3.8554426238039 |
L(r)(E,1)/r! |
Ω |
1.0245340381218 |
Real period |
R |
0.15679658916256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17632b1 35264h1 |
Quadratic twists by: -4 8 |