Atkin-Lehner |
2- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51392i |
Isogeny class |
Conductor |
51392 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30336 |
Modular degree for the optimal curve |
Δ |
-13156352 = -1 · 214 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3 4 3 11+ -3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,-160] |
[a1,a2,a3,a4,a6] |
j |
221184/803 |
j-invariant |
L |
10.255519544617 |
L(r)(E,1)/r! |
Ω |
1.139502171503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51392g1 12848c1 |
Quadratic twists by: -4 8 |