Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792bh |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-150559488473038848 = -1 · 226 · 32 · 74 · 473 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65744,19742100] |
[a1,a2,a3,a4,a6] |
j |
-7672532588448337/36757687615488 |
j-invariant |
L |
2.2585587954709 |
L(r)(E,1)/r! |
Ω |
0.28231984943386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974e1 63168co1 47376bt1 110544cl1 |
Quadratic twists by: -4 8 -3 -7 |