Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bo |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
903476381896704 = 212 · 3 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653077,203352349] |
[a1,a2,a3,a4,a6] |
Generators |
[444:847:1] |
Generators of the group modulo torsion |
j |
35084566528/1029 |
j-invariant |
L |
2.3250422821814 |
L(r)(E,1)/r! |
Ω |
0.46360184355457 |
Real period |
R |
1.6717234947082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541k2 121968es2 40656bx2 |
Quadratic twists by: -4 -3 -11 |