Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304a |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-2277539140608 = -1 · 210 · 39 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -3 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4995,-154062] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1998:1] |
Generators of the group modulo torsion |
j |
-683815500/112999 |
j-invariant |
L |
3.3988329286084 |
L(r)(E,1)/r! |
Ω |
0.2813975338975 |
Real period |
R |
3.0196008486396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28152c1 56304g1 |
Quadratic twists by: -4 -3 |