Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572a |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
9221929100496 = 24 · 33 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181104,-29664355] |
[a1,a2,a3,a4,a6] |
Generators |
[-218541240814:-16000359285:890277128] |
Generators of the group modulo torsion |
j |
37682675712/529 |
j-invariant |
L |
6.9842838887129 |
L(r)(E,1)/r! |
Ω |
0.23142906984286 |
Real period |
R |
15.089469731385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40572i1 40572b1 |
Quadratic twists by: -3 -7 |