Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38686i |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-1309753216 = -1 · 27 · 233 · 292 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 -5 -6 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,161,-1593] |
[a1,a2,a3,a4,a6] |
Generators |
[9:18:1] |
Generators of the group modulo torsion |
j |
551990727/1557376 |
j-invariant |
L |
4.3513342638228 |
L(r)(E,1)/r! |
Ω |
0.78416496174718 |
Real period |
R |
0.26423827080162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38686d1 |
Quadratic twists by: 29 |