Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560cs |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
16920453159321600 = 236 · 3 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103920,-11308332] |
[a1,a2,a3,a4,a6] |
Generators |
[-171981:266500:729] |
Generators of the group modulo torsion |
j |
30301585803604081/4130970009600 |
j-invariant |
L |
9.8019055354908 |
L(r)(E,1)/r! |
Ω |
0.26830609197404 |
Real period |
R |
9.1331373005996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070g1 |
Quadratic twists by: -4 |