Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128t |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1339321085853696 = 220 · 34 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169537,-26867425] |
[a1,a2,a3,a4,a6] |
Generators |
[10925:1141140:1] |
Generators of the group modulo torsion |
j |
2055795133410577/5109104484 |
j-invariant |
L |
8.2754798432359 |
L(r)(E,1)/r! |
Ω |
0.23531416938346 |
Real period |
R |
4.3959740423396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128bm4 1254h3 120384bv4 |
Quadratic twists by: -4 8 -3 |