Atkin-Lehner |
2+ 7- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784c |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-285005168 = -1 · 24 · 72 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 5 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132,611] |
[a1,a2,a3,a4,a6] |
j |
15777248000/17812823 |
j-invariant |
L |
2.3080491962491 |
L(r)(E,1)/r! |
Ω |
1.1540247454478 |
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 |
56392b1 |
Quadratic twists by: -4 |