Atkin-Lehner |
2- 3+ 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15738g |
Isogeny class |
Conductor |
15738 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
353808 |
Modular degree for the optimal curve |
Δ |
-4079192438501277696 = -1 · 218 · 313 · 43 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -2 -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-599175,203000829] |
[a1,a2,a3,a4,a6] |
j |
-23789472436406774761201/4079192438501277696 |
j-invariant |
L |
4.2793515187275 |
L(r)(E,1)/r! |
Ω |
0.23774175104042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125904s1 47214b1 |
Quadratic twists by: -4 -3 |