Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552c |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
137873794128 = 24 · 3 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34487,2476548] |
[a1,a2,a3,a4,a6] |
Generators |
[492364960:-947152271:4096000] |
Generators of the group modulo torsion |
j |
11745974272/357 |
j-invariant |
L |
6.7233060306421 |
L(r)(E,1)/r! |
Ω |
0.96511264188119 |
Real period |
R |
13.932686691492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999672 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97104bb1 2856c1 |
Quadratic twists by: -4 17 |