Atkin-Lehner |
2- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13552j |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-3479833396998269696 = -1 · 28 · 78 · 119 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,241355,77200169] |
[a1,a2,a3,a4,a6] |
j |
2575826944/5764801 |
j-invariant |
L |
1.3913917534868 |
L(r)(E,1)/r! |
Ω |
0.17392396918585 |
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 |
3388d1 54208br1 121968di1 94864bq1 |
Quadratic twists by: -4 8 -3 -7 |