Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24402l |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
21440503801063872 = 26 · 310 · 77 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-137667,18343294] |
[a1,a2,a3,a4,a6] |
Generators |
[-374:4376:1] [-73:-5256:1] |
Generators of the group modulo torsion |
j |
2452564753920793/182241275328 |
j-invariant |
L |
6.0349537888886 |
L(r)(E,1)/r! |
Ω |
0.3744919957996 |
Real period |
R |
0.40287601982017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206bi2 3486d2 |
Quadratic twists by: -3 -7 |