Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248g |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
375046495488 = 28 · 39 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4023,-93690] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1540:1] |
Generators of the group modulo torsion |
j |
1429033968/74431 |
j-invariant |
L |
7.3310167349439 |
L(r)(E,1)/r! |
Ω |
0.60140406581031 |
Real period |
R |
3.0474589181012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15624p2 124992eg2 31248h2 |
Quadratic twists by: -4 8 -3 |