Atkin-Lehner |
2- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56144o |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-67128159481856 = -1 · 212 · 117 · 292 |
Discriminant |
Eigenvalues |
2- 3 1 4 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71632,-7389712] |
[a1,a2,a3,a4,a6] |
Generators |
[43173289425612:7142864358982103:1577098944] |
Generators of the group modulo torsion |
j |
-5601816576/9251 |
j-invariant |
L |
13.223396300508 |
L(r)(E,1)/r! |
Ω |
0.1458981557945 |
Real period |
R |
22.658607691953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3509c1 5104b1 |
Quadratic twists by: -4 -11 |