Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984bf |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
56608948224 = 219 · 34 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 4 5 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1152,9396] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-192:1] |
Generators of the group modulo torsion |
j |
41314084993/13820544 |
j-invariant |
L |
8.2075171640437 |
L(r)(E,1)/r! |
Ω |
1.0275821412391 |
Real period |
R |
0.4992007958869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7998c1 |
Quadratic twists by: -4 |