Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792be |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1782853632 = -1 · 212 · 33 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,-75213] |
[a1,a2,a3,a4,a6] |
j |
-1000000000000/435267 |
j-invariant |
L |
2.8273595682242 |
L(r)(E,1)/r! |
Ω |
0.31415106313602 |
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 |
987c1 63168ck1 47376bp1 110544ci1 |
Quadratic twists by: -4 8 -3 -7 |