Atkin-Lehner |
2+ 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810w |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40001461777935000 = 23 · 35 · 54 · 76 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-521532,-144864936] |
[a1,a2,a3,a4,a6] |
j |
133345896593725369/340006815000 |
j-invariant |
L |
1.421463598804 |
L(r)(E,1)/r! |
Ω |
0.17768294985088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430dx4 690e3 |
Quadratic twists by: -3 -7 |