Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552g |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-48892221416166768 = -1 · 24 · 311 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 -5 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88305,-3341293] |
[a1,a2,a3,a4,a6] |
Generators |
[319:-7569:1] [1102:37845:1] |
Generators of the group modulo torsion |
j |
10976000/7047 |
j-invariant |
L |
8.5336619527777 |
L(r)(E,1)/r! |
Ω |
0.2045173276572 |
Real period |
R |
2.6078664246163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104i1 20184m1 2088j1 |
Quadratic twists by: -4 -3 29 |