Atkin-Lehner |
2- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52360i |
Isogeny class |
Conductor |
52360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-27889439226880 = -1 · 210 · 5 · 72 · 113 · 174 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3176,-264320] |
[a1,a2,a3,a4,a6] |
j |
-3461002971556/27235780495 |
j-invariant |
L |
0.56080013281636 |
L(r)(E,1)/r! |
Ω |
0.28040006690191 |
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 |
104720f1 |
Quadratic twists by: -4 |