Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40656cb |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
117395462372702976 = 28 · 34 · 74 · 119 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-553252,157347320] |
[a1,a2,a3,a4,a6] |
Generators |
[30692:102165:64] |
Generators of the group modulo torsion |
j |
31025539568/194481 |
j-invariant |
L |
7.6250738234489 |
L(r)(E,1)/r! |
Ω |
0.33376394962336 |
Real period |
R |
5.7114270669828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10164i2 121968dm2 40656cx2 |
Quadratic twists by: -4 -3 -11 |