Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112x |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
5489031744 = 26 · 36 · 76 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.8026094901546 |
L(r)(E,1)/r! |
Ω |
1.1443597351499 |
Real period |
R |
1.6614572207298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14112x1 28224fp2 1568g1 288d1 |
Quadratic twists by: -4 8 -3 -7 |