Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176bu |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2134580492500992 = -1 · 230 · 39 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20436,-1917488] |
[a1,a2,a3,a4,a6] |
Generators |
[20080:293436:125] |
Generators of the group modulo torsion |
j |
4939055927/11169792 |
j-invariant |
L |
5.9442833114471 |
L(r)(E,1)/r! |
Ω |
0.24034809382207 |
Real period |
R |
6.1829940242686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58176k1 14544y1 19392bn1 |
Quadratic twists by: -4 8 -3 |