Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600bm |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
24278350644000000 = 28 · 317 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029900,-402221500] |
[a1,a2,a3,a4,a6] |
Generators |
[-783376:319302:1331] |
Generators of the group modulo torsion |
j |
41430613746688/8325909 |
j-invariant |
L |
5.9786917400318 |
L(r)(E,1)/r! |
Ω |
0.14986700468193 |
Real period |
R |
4.9866644665455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200b1 3384f1 |
Quadratic twists by: -3 5 |