Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200bf |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
112403597875200 = 211 · 317 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27435,-1673030] |
[a1,a2,a3,a4,a6] |
Generators |
[449:-8748:1] [-79:36:1] |
Generators of the group modulo torsion |
j |
61184457890/3011499 |
j-invariant |
L |
10.086151399463 |
L(r)(E,1)/r! |
Ω |
0.372089841981 |
Real period |
R |
1.6941727275084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600cc1 20400bd1 61200cr1 |
Quadratic twists by: -4 -3 5 |